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71537502768 = 24322726924407
BaseRepresentation
bin100001010011111110…
…1111010101000110000
320211122120102200011120
41002213331322220300
52133002100042033
652510332542240
75111523512004
oct1024775725060
9224576380146
1071537502768
1128380067716
1211a45921980
136990b3a8c4
143668cbc704
151cda5b71b3
hex10a7f7aa30

71537502768 has 80 divisors (see below), whose sum is σ = 186317003520. Its totient is φ = 23651561728.

The previous prime is 71537502719. The next prime is 71537502779. The reversal of 71537502768 is 86720573517.

It is a super-2 number, since 2×715375027682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71537502768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918821 + ... + 2943227.

It is an arithmetic number, because the mean of its divisors is an integer number (2328962544).

Almost surely, 271537502768 is an apocalyptic number.

It is an amenable number.

71537502768 is an abundant number, since it is smaller than the sum of its proper divisors (114779500752).

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

71537502768 is a wasteful number, since it uses less digits than its factorization.

71537502768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24908 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 71537502768 in words is "seventy-one billion, five hundred thirty-seven million, five hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 269 454 538 681 807 908 1076 1362 1614 1816 2152 2724 3228 3632 4304 5448 6456 10896 12912 24407 48814 61063 73221 97628 122126 146442 183189 195256 244252 292884 366378 390512 488504 585768 732756 977008 1171536 1465512 2931024 5540389 6565483 11080778 13130966 16621167 19696449 22161556 26261932 33242334 39392898 44323112 52523864 66484668 78785796 88646224 105047728 132969336 157571592 265938672 315143184 1490364641 2980729282 4471093923 5961458564 8942187846 11922917128 17884375692 23845834256 35768751384 71537502768