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53345514924 = 2235137975297
BaseRepresentation
bin110001101011101000…
…111111010110101100
312002200201222221100000
4301223220333112230
51333222422434144
640301231304300
73565644252402
oct615350772654
9162621887300
1053345514924
1120695174a19
12a40937b090
135051bc9b60
142820b97472
1515c3438769
hexc6ba3f5ac

53345514924 has 144 divisors (see below), whose sum is σ = 150814224288. Its totient is φ = 16390315008.

The previous prime is 53345514923. The next prime is 53345514931. The reversal of 53345514924 is 42941554335.

53345514924 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 551 + 4 + 92 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53345514924.

It is not an unprimeable number, because it can be changed into a prime (53345514923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10068244 + ... + 10073540.

It is an arithmetic number, because the mean of its divisors is an integer number (1047321002).

Almost surely, 253345514924 is an apocalyptic number.

53345514924 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53345514924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75407112144).

53345514924 is an abundant number, since it is smaller than the sum of its proper divisors (97468709364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53345514924 is a wasteful number, since it uses less digits than its factorization.

53345514924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6112 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 53345514924 in words is "fifty-three billion, three hundred forty-five million, five hundred fourteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 797 972 1053 1404 1594 2106 2391 3159 3188 4212 4782 5297 6318 7173 9564 10361 10594 12636 14346 15891 20722 21188 21519 28692 31083 31782 41444 43038 47673 62166 63564 64557 68861 86076 93249 95346 124332 129114 137722 143019 186498 190692 193671 206583 258228 275444 279747 286038 372996 387342 413166 429057 559494 572076 619749 774684 826332 839241 858114 1118988 1239498 1287171 1678482 1716228 1859247 2478996 2517723 2574342 3356964 3718494 4221709 5035446 5148684 5577741 7436988 8443418 10070892 11155482 12665127 16733223 16886836 22310964 25330254 33466446 37995381 50660508 54882217 66932892 75990762 109764434 113986143 151981524 164646651 219528868 227972286 329293302 341958429 455944572 493939953 658586604 683916858 987879906 1025875287 1367833716 1481819859 1975759812 2051750574 2963639718 4103501148 4445459577 5927279436 8890919154 13336378731 17781838308 26672757462 53345514924