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5175925664 = 257213318191
BaseRepresentation
bin1001101001000001…
…00101101110100000
3111100201102021012112
410310200211232200
541100014110124
62213334014452
7242156433200
oct46440455640
914321367175
105175925664
112216747618
1210054a7428
13646437110
143715b8400
1520460790e
hex134825ba0

5175925664 has 144 divisors (see below), whose sum is σ = 13179027456. Its totient is φ = 1981324800.

The previous prime is 5175925661. The next prime is 5175925709. The reversal of 5175925664 is 4665295715.

It is not an unprimeable number, because it can be changed into a prime (5175925661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627809 + ... + 635999.

It is an arithmetic number, because the mean of its divisors is an integer number (91521024).

Almost surely, 25175925664 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 5175925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589513728).

5175925664 is an abundant number, since it is smaller than the sum of its proper divisors (8003101792).

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

5175925664 is a wasteful number, since it uses less digits than its factorization.

5175925664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8244 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 50.

The square root of 5175925664 is about 71943.9063715614. The cubic root of 5175925664 is about 1729.8004674816.

The spelling of 5175925664 in words is "five billion, one hundred seventy-five million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 91 98 104 112 124 182 196 208 217 224 248 364 392 403 416 434 496 637 728 784 806 868 992 1274 1456 1519 1568 1612 1736 2548 2821 2912 3038 3224 3472 5096 5642 6076 6448 6944 8191 10192 11284 12152 12896 16382 19747 20384 22568 24304 32764 39494 45136 48608 57337 65528 78988 90272 106483 114674 131056 157976 212966 229348 253921 262112 315952 401359 425932 458696 507842 631904 745381 802718 851864 917392 1015684 1490762 1605436 1703728 1777447 1834784 2031368 2981524 3210872 3300973 3407456 3554894 4062736 5217667 5963048 6421744 6601946 7109788 8125472 10435334 11926096 12442129 12843488 13203892 14219576 20870668 23106811 23852192 24884258 26407784 28439152 41741336 46213622 49768516 52815568 56878304 83482672 92427244 99537032 105631136 161747677 166965344 184854488 199074064 323495354 369708976 398148128 646990708 739417952 1293981416 2587962832 5175925664