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5695024896 = 28331174903
BaseRepresentation
bin1010100110111001…
…10010111100000000
3112200220012020111000
411103130302330000
543130411244041
62341040052000
7261061625061
oct52334627400
915626166430
105695024896
112462769550
12112b304000
136c9b48622
143c0502568
15234e94bb6
hex153732f00

5695024896 has 144 divisors (see below), whose sum is σ = 18372453120. Its totient is φ = 1725742080.

The previous prime is 5695024891. The next prime is 5695024913. The reversal of 5695024896 is 6984205965.

It is a happy number.

5695024896 is a `hidden beast` number, since 5 + 6 + 9 + 502 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (5695024891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38581 + ... + 113483.

It is an arithmetic number, because the mean of its divisors is an integer number (127586480).

Almost surely, 25695024896 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 5695024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186226560).

5695024896 is an abundant number, since it is smaller than the sum of its proper divisors (12677428224).

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

5695024896 is a wasteful number, since it uses less digits than its factorization.

5695024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74939 (or 74919 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5695024896 is about 75465.3887288736. The cubic root of 5695024896 is about 1785.7961225209.

The spelling of 5695024896 in words is "five billion, six hundred ninety-five million, twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 74903 76032 149806 224709 299612 449418 599224 674127 823933 898836 1198448 1348254 1647866 1797672 2022381 2396896 2471799 2696508 3295732 3595344 4044762 4793792 4943598 5393016 6591464 7190688 7415397 8089524 9587584 9887196 10786032 13182928 14381376 14830794 16179048 19175168 19774392 21572064 22246191 26365856 28762752 29661588 32358096 39548784 43144128 44492382 52731712 57525504 59323176 64716192 79097568 86288256 88984764 105463424 118646352 129432384 158195136 172576512 177969528 210926848 237292704 258864768 316390272 355939056 474585408 517729536 632780544 711878112 949170816 1423756224 1898341632 2847512448 5695024896