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10527711972 = 22331371017573
BaseRepresentation
bin10011100111000000…
…00010001011100100
31000011200202011212020
421303200002023210
5133030043240342
64500353223140
7521613034551
oct116340021344
930150664766
1010527711972
114512689908
122059861ab0
13cba125c8b
1471c28da28
1541939c0ec
hex2738022e4

10527711972 has 96 divisors (see below), whose sum is σ = 26303714304. Its totient is φ = 3271104000.

The previous prime is 10527711911. The next prime is 10527711989. The reversal of 10527711972 is 27911772501.

It is a super-2 number, since 2×105277119722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1386378 + ... + 1393950.

It is an arithmetic number, because the mean of its divisors is an integer number (273997024).

Almost surely, 210527711972 is an apocalyptic number.

10527711972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10527711972 is an abundant number, since it is smaller than the sum of its proper divisors (15776002332).

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

10527711972 is a wasteful number, since it uses less digits than its factorization.

10527711972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 42.

The spelling of 10527711972 in words is "ten billion, five hundred twenty-seven million, seven hundred eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 101 111 124 148 186 202 222 303 372 404 444 606 1147 1212 2294 3131 3441 3737 4588 6262 6882 7474 7573 9393 11211 12524 13764 14948 15146 18786 22422 22719 30292 37572 44844 45438 90876 115847 231694 234763 280201 347541 463388 469526 560402 695082 704289 764873 840603 939052 1120804 1390164 1408578 1529746 1681206 2294619 2817156 3059492 3362412 4589238 8686231 9178476 17372462 23711063 26058693 28300301 34744924 47422126 52117386 56600602 71133189 84900903 94844252 104234772 113201204 142266378 169801806 284532756 339603612 877309331 1754618662 2631927993 3509237324 5263855986 10527711972