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5160527460 = 22325114675581
BaseRepresentation
bin1001100111001011…
…10110011001100100
3111022122102221211200
410303211312121210
541032043334320
62212024002500
7241611521364
oct46345663144
914278387750
105160527460
112208a8a730
121000300430
136431a545a
1436d52a9a4
152030b5290
hex133976664

5160527460 has 144 divisors (see below), whose sum is σ = 17116287552. Its totient is φ = 1248134400.

The previous prime is 5160527459. The next prime is 5160527513. The reversal of 5160527460 is 647250615.

It is a happy number.

5160527460 is a `hidden beast` number, since 5 + 1 + 605 + 2 + 7 + 46 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921870 + ... + 927450.

It is an arithmetic number, because the mean of its divisors is an integer number (118863108).

Almost surely, 25160527460 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 5160527460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558143776).

5160527460 is an abundant number, since it is smaller than the sum of its proper divisors (11955760092).

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

5160527460 is a wasteful number, since it uses less digits than its factorization.

5160527460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5160527460 is about 71836.8113156479. The cubic root of 5160527460 is about 1728.0833976275.

The spelling of 5160527460 in words is "five billion, one hundred sixty million, five hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 467 495 660 934 990 1401 1868 1980 2335 2802 4203 4670 5137 5581 5604 7005 8406 9340 10274 11162 14010 15411 16743 16812 20548 21015 22324 25685 27905 28020 30822 33486 42030 46233 50229 51370 55810 61391 61644 66972 77055 83715 84060 92466 100458 102740 111620 122782 154110 167430 184173 184932 200916 231165 245564 251145 306955 308220 334860 368346 462330 502290 552519 613910 736692 920865 924660 1004580 1105038 1227820 1841730 2210076 2606327 2762595 3683460 5212654 5525190 7818981 10425308 11050380 13031635 15637962 23456943 26063270 28669597 31275924 39094905 46913886 52126540 57339194 78189810 86008791 93827772 114678388 117284715 143347985 156379620 172017582 234569430 258026373 286695970 344035164 430043955 469138860 516052746 573391940 860087910 1032105492 1290131865 1720175820 2580263730 5160527460