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71928806152 = 23757711711901
BaseRepresentation
bin100001011111101001…
…0100111101100001000
320212122211201221111111
41002333102213230020
52134302233244102
653013231540104
75124314523130
oct1027722475410
9225584657444
1071928806152
1128560a32745
1211b3498a634
136a23c25978
1436a4c5bac0
151d0eb0dcd7
hex10bf4a7b08

71928806152 has 64 divisors (see below), whose sum is σ = 154613427840. Its totient is φ = 30730752000.

The previous prime is 71928806123. The next prime is 71928806189. The reversal of 71928806152 is 25160882917.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71928806096 and 71928806105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37836402 + ... + 37838302.

It is an arithmetic number, because the mean of its divisors is an integer number (2415834810).

Almost surely, 271928806152 is an apocalyptic number.

It is an amenable number.

71928806152 is an abundant number, since it is smaller than the sum of its proper divisors (82684621688).

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

71928806152 is a wasteful number, since it uses less digits than its factorization.

71928806152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 71928806152 in words is "seventy-one billion, nine hundred twenty-eight million, eight hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 577 1154 1171 1901 2308 2342 3802 4039 4616 4684 7604 8078 8197 9368 13307 15208 16156 16394 26614 32312 32788 53228 65576 106456 675667 1096877 1351334 2193754 2226071 2702668 4387508 4452142 4729669 5405336 7678139 8775016 8904284 9459338 15356278 15582497 17808568 18918676 30712556 31164994 37837352 61425112 62329988 124659976 1284442967 2568885934 5137771868 8991100769 10275543736 17982201538 35964403076 71928806152