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78694138350208 = 2723148933179479
BaseRepresentation
bin10001111001001001101000…
…001010011000101010000000
3101022122002022210202220112101
4101321021220022120222000
540303311043404201313
6435211331005240144
722401315052206643
oct2171115012305200
9338562283686471
1078694138350208
112308aaa6601787
1289ab54b863054
1334baa9654c464
141560b60b31a5a
159170361085dd
hex479268298a80

78694138350208 has 64 divisors (see below), whose sum is σ = 163591726838400. Its totient is φ = 37635864634368.

The previous prime is 78694138350131. The next prime is 78694138350221. The reversal of 78694138350208 is 80205383149687.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 78694138350208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438369013 + ... + 438548491.

It is an arithmetic number, because the mean of its divisors is an integer number (2556120731850).

It is a 1-persistent number, because it is pandigital, but 2⋅78694138350208 = 157388276700416 is not.

Almost surely, 278694138350208 is an apocalyptic number.

It is an amenable number.

78694138350208 is an abundant number, since it is smaller than the sum of its proper divisors (84897588488192).

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

78694138350208 is a wasteful number, since it uses less digits than its factorization.

78694138350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328449 (or 328437 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 78694138350208 in words is "seventy-eight trillion, six hundred ninety-four billion, one hundred thirty-eight million, three hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 148933 179479 297866 358958 595732 717916 1191464 1435832 2382928 2871664 3425459 4128017 4765856 5743328 6850918 8256034 9531712 11486656 13701836 16512068 19063424 22973312 27403672 33024136 54807344 66048272 109614688 132096544 219229376 264193088 438458752 528386176 26730345907 53460691814 106921383628 213842767256 427685534512 614797955861 855371069024 1229595911722 1710742138048 2459191823444 3421484276096 4918383646888 9836767293776 19673534587552 39347069175104 78694138350208