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2112475488 = 253173673527
BaseRepresentation
bin111110111101001…
…1101000101100000
312110012222212120220
41331322131011200
513311243203423
6545341403040
7103230513444
oct17572350540
95405885526
102112475488
1199448a112
124ab569480
132788683c6
141607b6824
15c56cd9e3
hex7de9d160

2112475488 has 96 divisors (see below), whose sum is σ = 5889106944. Its totient is φ = 660744192.

The previous prime is 2112475483. The next prime is 2112475571. The reversal of 2112475488 is 8845742112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112475483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597181 + ... + 600707.

It is an arithmetic number, because the mean of its divisors is an integer number (61344864).

Almost surely, 22112475488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112475488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944553472).

2112475488 is an abundant number, since it is smaller than the sum of its proper divisors (3776631456).

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

2112475488 is a wasteful number, since it uses less digits than its factorization.

2112475488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3916 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 2112475488 is about 45961.6741209456. The cubic root of 2112475488 is about 1283.1100091222.

The spelling of 2112475488 in words is "two billion, one hundred twelve million, four hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 367 408 544 734 816 1101 1468 1632 2202 2936 3527 4404 5872 6239 7054 8808 10581 11744 12478 14108 17616 18717 21162 24956 28216 35232 37434 42324 49912 56432 59959 74868 84648 99824 112864 119918 149736 169296 179877 199648 239836 299472 338592 359754 479672 598944 719508 959344 1294409 1439016 1918688 2588818 2878032 3883227 5177636 5756064 7766454 10355272 15532908 20710544 22004953 31065816 41421088 44009906 62131632 66014859 88019812 124263264 132029718 176039624 264059436 352079248 528118872 704158496 1056237744 2112475488