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8125973496 = 2332797331949
BaseRepresentation
bin1111001000101100…
…01000001111111000
3202222022110020001100
413210112020033320
5113120222122441
63422155451400
7405240430554
oct74426101770
922868406040
108125973496
11349a99a183
1216a9456b60
139c667bc54
145712da864
153285d0cb6
hex1e45883f8

8125973496 has 96 divisors (see below), whose sum is σ = 22328280000. Its totient is φ = 2669352192.

The previous prime is 8125973467. The next prime is 8125973519. The reversal of 8125973496 is 6943795218.

8125973496 is a `hidden beast` number, since 8 + 1 + 2 + 597 + 3 + 49 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4168330 + ... + 4170278.

It is an arithmetic number, because the mean of its divisors is an integer number (232586250).

Almost surely, 28125973496 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 8125973496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164140000).

8125973496 is an abundant number, since it is smaller than the sum of its proper divisors (14202306504).

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

8125973496 is a wasteful number, since it uses less digits than its factorization.

8125973496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2766 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 8125973496 is about 90144.1817090820. The cubic root of 8125973496 is about 2010.4431665587.

The spelling of 8125973496 in words is "eight billion, one hundred twenty-five million, nine hundred seventy-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 733 948 1422 1466 1896 1949 2199 2844 2932 3898 4398 5688 5847 5864 6597 7796 8796 11694 13194 15592 17541 17592 23388 26388 35082 46776 52776 57907 70164 115814 140328 153971 173721 231628 307942 347442 461913 463256 521163 615884 694884 923826 1042326 1231768 1385739 1389768 1428617 1847652 2084652 2771478 2857234 3695304 4169304 4285851 5542956 5714468 8571702 11085912 11428936 12857553 17143404 25715106 34286808 51430212 102860424 112860743 225721486 338582229 451442972 677164458 902885944 1015746687 1354328916 2031493374 2708657832 4062986748 8125973496