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5377659552 = 253312749009
BaseRepresentation
bin1010000001000100…
…01001001010100000
3111212210000102002000
411000202021022200
542003140101202
62245341524000
7250156231506
oct50042111240
914783012060
105377659552
11230a604241
121060b73600
1367917a695
143902cc676
152171a591c
hex1408892a0

5377659552 has 96 divisors (see below), whose sum is σ = 15808665600. Its totient is φ = 1778402304.

The previous prime is 5377659517. The next prime is 5377659563. The reversal of 5377659552 is 2559567735.

5377659552 is a `hidden beast` number, since 5 + 37 + 7 + 6 + 59 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85224 + ... + 134232.

It is an arithmetic number, because the mean of its divisors is an integer number (164673600).

Almost surely, 25377659552 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 5377659552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904332800).

5377659552 is an abundant number, since it is smaller than the sum of its proper divisors (10431006048).

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

5377659552 is a wasteful number, since it uses less digits than its factorization.

5377659552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49155 (or 49141 counting only the distinct ones).

The product of its digits is 9922500, while the sum is 54.

The square root of 5377659552 is about 73332.5272440545. The cubic root of 5377659552 is about 1751.9878963322.

The spelling of 5377659552 in words is "five billion, three hundred seventy-seven million, six hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 6096 6858 9144 12192 13716 18288 27432 36576 49009 54864 98018 109728 147027 196036 294054 392072 441081 588108 784144 882162 1176216 1323243 1568288 1764324 2352432 2646486 3528648 4704864 5292972 6224143 7057296 10585944 12448286 14114592 18672429 21171888 24896572 37344858 42343776 49793144 56017287 74689716 99586288 112034574 149379432 168051861 199172576 224069148 298758864 336103722 448138296 597517728 672207444 896276592 1344414888 1792553184 2688829776 5377659552