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78538136553472 = 21161362559053
BaseRepresentation
bin10001110110111000010101…
…101110110000100000000000
3101022002011122202212112022211
4101312320111232300200000
540243232100424202342
6435011531041311504
722354123144625011
oct2166702556604000
9338064582775284
1078538136553472
112302a922665942
128985273035594
1334a91647254ab
1415573a2225008
15912e55688c17
hex476e15bb0800

78538136553472 has 48 divisors (see below), whose sum is σ = 157294106243820. Its totient is φ = 39205007179776.

The previous prime is 78538136553433. The next prime is 78538136553529. The reversal of 78538136553472 is 27435563183587.

It can be written as a sum of positive squares in 2 ways, for example, as 55870482318336 + 22667654235136 = 7474656^2 + 4761056^2 .

It is a super-3 number, since 3×785381365534723 (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78538136553398 and 78538136553407.

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 3 ways as a sum of consecutive naturals, for example, 30024103 + ... + 32534950.

Almost surely, 278538136553472 is an apocalyptic number.

It is an amenable number.

78538136553472 is an abundant number, since it is smaller than the sum of its proper divisors (78755969690348).

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

78538136553472 is an equidigital number, since it uses as much as digits as its factorization.

78538136553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62559688 (or 62559668 counting only the distinct ones).

The product of its digits is 508032000, while the sum is 67.

The spelling of 78538136553472 in words is "seventy-eight trillion, five hundred thirty-eight billion, one hundred thirty-six million, five hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 613 1024 1226 2048 2452 4904 9808 19616 39232 78464 156928 313856 627712 1255424 62559053 125118106 250236212 500472424 1000944848 2001889696 4003779392 8007558784 16015117568 32030235136 38348699489 64060470272 76697398978 128120940544 153394797956 306789595912 613579191824 1227158383648 2454316767296 4908633534592 9817267069184 19634534138368 39269068276736 78538136553472