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78116820752 = 2447712296389
BaseRepresentation
bin100100011000000100…
…0000001011100010000
321110122002120122201102
41020300020001130100
52234440401231002
655515242323532
75433544010045
oct1106010013420
9243562518642
1078116820752
11301469aa6a3
12131811b95a8
13749bc40579
143ad0a0d1cc
152072ed4a02
hex1230201710

78116820752 has 80 divisors (see below), whose sum is σ = 157457779200. Its totient is φ = 37518512640.

The previous prime is 78116820739. The next prime is 78116820763. The reversal of 78116820752 is 25702861187.

It is a super-2 number, since 2×781168207522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 78116820697 and 78116820706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12223574 + ... + 12229962.

It is an arithmetic number, because the mean of its divisors is an integer number (1968222240).

Almost surely, 278116820752 is an apocalyptic number.

It is an amenable number.

78116820752 is an abundant number, since it is smaller than the sum of its proper divisors (79340958448).

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

78116820752 is a wasteful number, since it uses less digits than its factorization.

78116820752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 47.

The spelling of 78116820752 in words is "seventy-eight billion, one hundred sixteen million, eight hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 47 71 94 142 188 229 284 376 458 568 752 916 1136 1832 3337 3664 6389 6674 10763 12778 13348 16259 21526 25556 26696 32518 43052 51112 53392 65036 86104 102224 130072 172208 260144 300283 453619 600566 764173 907238 1201132 1463081 1528346 1814476 2402264 2926162 3056692 3628952 4804528 5852324 6113384 7257904 11704648 12226768 21320093 23409296 42640186 68764807 85280372 103878751 137529614 170560744 207757502 275059228 341121488 415515004 550118456 831030008 1100236912 1662060016 4882301297 9764602594 19529205188 39058410376 78116820752