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86472953472 = 273317264193
BaseRepresentation
bin101000010001000110…
…0001000111010000000
322021012110010011212110
41100202030020322000
52404044034002342
6103420343255320
76150610656033
oct1204214107200
9267173104773
1086472953472
1133744800904
121491374a540
1382011a60b9
1442846dd01a
1523b18cac9c
hex1422308e80

86472953472 has 64 divisors (see below), whose sum is σ = 237103292160. Its totient is φ = 27894497280.

The previous prime is 86472953443. The next prime is 86472953477. The reversal of 86472953472 is 27435927468.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86472953477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3620193 + ... + 3644000.

It is an arithmetic number, because the mean of its divisors is an integer number (3704738940).

Almost surely, 286472953472 is an apocalyptic number.

It is an amenable number.

86472953472 is an abundant number, since it is smaller than the sum of its proper divisors (150630338688).

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

86472953472 is a wasteful number, since it uses less digits than its factorization.

86472953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264241 (or 7264229 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 86472953472 in words is "eighty-six billion, four hundred seventy-two million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 7264193 14528386 21792579 29056772 43585158 58113544 87170316 116227088 174340632 225189983 232454176 348681264 450379966 464908352 675569949 697362528 900759932 929816704 1351139898 1394725056 1801519864 2702279796 2789450112 3603039728 5404559592 7206079456 10809119184 14412158912 21618238368 28824317824 43236476736 86472953472