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78103476768 = 25341151131413
BaseRepresentation
bin100100010111101010…
…1000111101000100000
321110121011110201012210
41020233111013220200
52234423442224033
655514044322120
75433322412232
oct1105725075040
9243534421183
1078103476768
113013a416109
1213178843340
13749924a915
143accd38252
152071c4ad63
hex122f547a20

78103476768 has 96 divisors (see below), whose sum is σ = 211414637952. Its totient is φ = 25231104000.

The previous prime is 78103476761. The next prime is 78103476769. The reversal of 78103476768 is 86767430187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×781034767682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78103476761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528630 + ... + 660042.

It is an arithmetic number, because the mean of its divisors is an integer number (2202235812).

Almost surely, 278103476768 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 78103476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105707318976).

78103476768 is an abundant number, since it is smaller than the sum of its proper divisors (133311161184).

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

78103476768 is a wasteful number, since it uses less digits than its factorization.

78103476768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131618 (or 131610 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 78103476768 in words is "seventy-eight billion, one hundred three million, four hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 151 164 246 302 328 453 492 604 656 906 984 1208 1312 1812 1968 2416 3624 3936 4832 6191 7248 12382 14496 18573 24764 37146 49528 74292 99056 131413 148584 198112 262826 297168 394239 525652 594336 788478 1051304 1576956 2102608 3153912 4205216 5387933 6307824 10775866 12615648 16163799 19843363 21551732 32327598 39686726 43103464 59530089 64655196 79373452 86206928 119060178 129310392 158746904 172413856 238120356 258620784 317493808 476240712 517241568 634987616 813577883 952481424 1627155766 1904962848 2440733649 3254311532 4881467298 6508623064 9762934596 13017246128 19525869192 26034492256 39051738384 78103476768