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6557697144 = 233516212081
BaseRepresentation
bin1100001101101111…
…01000010001111000
3121221000110112100000
412012313220101320
5101412232302034
63002414113000
7321335335365
oct60667502170
917830415300
106557697144
112865715a19
1213301ab760
138067a288b
14462d0346c
15285a9b599
hex186de8478

6557697144 has 96 divisors (see below), whose sum is σ = 18438441840. Its totient is φ = 2183500800.

The previous prime is 6557697143. The next prime is 6557697217. The reversal of 6557697144 is 4417967556.

6557697144 is a `hidden beast` number, since 65 + 576 + 9 + 7 + 1 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557697143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3150184 + ... + 3152264.

Almost surely, 26557697144 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 6557697144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219220920).

6557697144 is an abundant number, since it is smaller than the sum of its proper divisors (11880744696).

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

6557697144 is a wasteful number, since it uses less digits than its factorization.

6557697144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3707 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 6557697144 is about 80979.6094334864. The cubic root of 6557697144 is about 1871.7612491373.

The spelling of 6557697144 in words is "six billion, five hundred fifty-seven million, six hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1621 1944 2081 3242 4162 4863 6243 6484 8324 9726 12486 12968 14589 16648 18729 19452 24972 29178 37458 38904 43767 49944 56187 58356 74916 87534 112374 116712 131301 149832 168561 175068 224748 262602 337122 350136 393903 449496 505683 525204 674244 787806 1011366 1050408 1348488 1575612 2022732 3151224 3373301 4045464 6746602 10119903 13493204 20239806 26986408 30359709 40479612 60719418 80959224 91079127 121438836 182158254 242877672 273237381 364316508 546474762 728633016 819712143 1092949524 1639424286 2185899048 3278848572 6557697144