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768756450078 = 233211322120947
BaseRepresentation
bin10110010111111010111…
…01001000001100011110
32201111021221212221211000
423023331131020030132
5100043403122400303
61345054542411130
7106353334003131
oct13137535101436
92644257787730
10768756450078
11277033a7a261
12104ba6b90aa6
1357655082826
14292caad2218
1514ee5428da3
hexb2fd74831e

768756450078 has 64 divisors (see below), whose sum is σ = 1717058960640. Its totient is φ = 254946333600.

The previous prime is 768756450071. The next prime is 768756450107. The reversal of 768756450078 is 870054657867.

768756450078 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 56 + 4 + 500 + 78 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768756449997 and 768756450024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768756450071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36689601 + ... + 36710547.

It is an arithmetic number, because the mean of its divisors is an integer number (26829046260).

Almost surely, 2768756450078 is an apocalyptic number.

768756450078 is an abundant number, since it is smaller than the sum of its proper divisors (948302510562).

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

768756450078 is a wasteful number, since it uses less digits than its factorization.

768756450078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24390 (or 24384 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 768756450078 in words is "seven hundred sixty-eight billion, seven hundred fifty-six million, four hundred fifty thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3221 3798 5697 6442 9663 11394 19326 20947 28989 41894 57978 62841 86967 125682 173934 188523 377046 565569 679631 1131138 1359262 2038893 4077786 4419817 6116679 8839634 12233358 13259451 18350037 26518902 36700074 39778353 67470287 79556706 119335059 134940574 202410861 238670118 404821722 607232583 1214465166 1821697749 3643395498 14236230557 28472461114 42708691671 85417383342 128126075013 256252150026 384378225039 768756450078