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78005676096 = 2632317427213
BaseRepresentation
bin100100010100110000…
…0000010100001000000
321110100100102220220200
41020221200002201000
52234223423113341
655500232205200
75431024210125
oct1105140024100
9243310386820
1078005676096
113009a197007
121314bb39800
137481bc71ba
143abdd5a74c
15206837cdb6
hex1229802840

78005676096 has 84 divisors (see below), whose sum is σ = 224295039852. Its totient is φ = 25919806464.

The previous prime is 78005676079. The next prime is 78005676097. The reversal of 78005676096 is 69067650087.

It is a happy number.

78005676096 is a `hidden beast` number, since 78 + 0 + 0 + 567 + 6 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9382634496 + 68623041600 = 96864^2 + 261960^2 .

It is not an unprimeable number, because it can be changed into a prime (78005676097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31015 + ... + 396198.

Almost surely, 278005676096 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 78005676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112147519926).

78005676096 is an abundant number, since it is smaller than the sum of its proper divisors (146289363756).

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

78005676096 is a wasteful number, since it uses less digits than its factorization.

78005676096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427548 (or 427535 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 78005676096 in words is "seventy-eight billion, five million, six hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 317 576 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 20288 22824 30432 45648 60864 91296 182592 427213 854426 1281639 1708852 2563278 3417704 3844917 5126556 6835408 7689834 10253112 13670816 15379668 20506224 27341632 30759336 41012448 61518672 82024896 123037344 135426521 246074688 270853042 406279563 541706084 812559126 1083412168 1218838689 1625118252 2166824336 2437677378 3250236504 4333648672 4875354756 6500473008 8667297344 9750709512 13000946016 19501419024 26001892032 39002838048 78005676096