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78320011883232 = 2537116547636731
BaseRepresentation
bin10001110011101101001100…
…011111001011001011100000
3101021022022122021211012101110
4101303231030133023023200
540231143341020230412
6434323414452503320
722332301622543550
oct2163551437131340
9337268567735343
1078320011883232
1122a5636aa00729
12894ab3961ab40
133491712405192
14154a9ccd43160
1590c43ae31d3c
hex473b4c7cb2e0

78320011883232 has 48 divisors (see below), whose sum is σ = 234960035651712. Its totient is φ = 22377146252160.

The previous prime is 78320011883227. The next prime is 78320011883233. The reversal of 78320011883232 is 23238811002387.

78320011883232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×783200118832322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78320011883233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58273817694 + ... + 58273819037.

It is an arithmetic number, because the mean of its divisors is an integer number (4895000742744).

Almost surely, 278320011883232 is an apocalyptic number.

It is an amenable number.

78320011883232 is an abundant number, since it is smaller than the sum of its proper divisors (156640023768480).

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

78320011883232 is a wasteful number, since it uses less digits than its factorization.

78320011883232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116547636751 (or 116547636743 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 78320011883232 in words is "seventy-eight trillion, three hundred twenty billion, eleven million, eight hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 116547636731 233095273462 349642910193 466190546924 699285820386 815833457117 932381093848 1398571640772 1631666914234 1864762187696 2447500371351 2797143281544 3263333828468 3729524375392 4895000742702 5594286563088 6526667656936 9790001485404 11188573126176 13053335313872 19580002970808 26106670627744 39160005941616 78320011883232