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5640161544 = 23349918783
BaseRepresentation
bin1010100000010111…
…00000100100001000
3112120001221220010000
411100023200210020
543022340132134
62331400123000
7256524403443
oct52013404410
915501856100
105640161544
1124347a6936
121114a66460
136bb6796c4
143b710065a
15230258e99
hex1502e0908

5640161544 has 80 divisors (see below), whose sum is σ = 15815416320. Its totient is φ = 1877942880.

The previous prime is 5640161537. The next prime is 5640161557. The reversal of 5640161544 is 4451610465.

5640161544 is a `hidden beast` number, since 5 + 640 + 1 + 6 + 1 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×56401615442 = 63622844484832927872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5640161499 and 5640161508.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 637777 + ... + 646559.

It is an arithmetic number, because the mean of its divisors is an integer number (197692704).

Almost surely, 25640161544 is an apocalyptic number.

5640161544 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 5640161544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907708160).

5640161544 is an abundant number, since it is smaller than the sum of its proper divisors (10175254776).

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

5640161544 is a wasteful number, since it uses less digits than its factorization.

5640161544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5640161544 is about 75101.0089412919. The cubic root of 5640161544 is about 1780.0430852678.

The spelling of 5640161544 in words is "five billion, six hundred forty million, one hundred sixty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 991 1982 2973 3964 5946 7928 8783 8919 11892 17566 17838 23784 26349 26757 35132 35676 52698 53514 70264 71352 79047 80271 105396 107028 158094 160542 210792 214056 237141 316188 321084 474282 632376 642168 711423 948564 1422846 1897128 2845692 5691384 8703953 17407906 26111859 34815812 52223718 69631624 78335577 104447436 156671154 208894872 235006731 313342308 470013462 626684616 705020193 940026924 1410040386 1880053848 2820080772 5640161544