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78265813164 = 223711193438877
BaseRepresentation
bin100100011100100000…
…0011000100010101100
321111000110221020212220
41020321000120202230
52240242022010124
655542123555340
75440333302210
oct1107100304254
9244013836786
1078265813164
1130213013920
121320308bb50
1374c3a78966
143b06714940
152081115879
hex12390188ac

78265813164 has 96 divisors (see below), whose sum is σ = 228862588416. Its totient is φ = 20223406080.

The previous prime is 78265813163. The next prime is 78265813201. The reversal of 78265813164 is 46131856287.

It is a super-2 number, since 2×782658131642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78265813163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41107 + ... + 397770.

It is an arithmetic number, because the mean of its divisors is an integer number (2383985296).

Almost surely, 278265813164 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 78265813164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114431294208).

78265813164 is an abundant number, since it is smaller than the sum of its proper divisors (150596775252).

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

78265813164 is a wasteful number, since it uses less digits than its factorization.

78265813164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439095 (or 439093 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 78265813164 in words is "seventy-eight billion, two hundred sixty-five million, eight hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 193 231 308 386 462 579 772 924 1158 1351 2123 2316 2702 4053 4246 5404 6369 8106 8492 12738 14861 16212 25476 29722 44583 59444 89166 178332 438877 877754 1316631 1755508 2633262 3072139 4827647 5266524 6144278 9216417 9655294 12288556 14482941 18432834 19310588 28965882 33793529 36865668 57931764 67587058 84703261 101380587 135174116 169406522 202761174 254109783 338813044 405522348 508219566 592922827 931735871 1016439132 1185845654 1778768481 1863471742 2371691308 2795207613 3557536962 3726943484 5590415226 6522151097 7115073924 11180830452 13044302194 19566453291 26088604388 39132906582 78265813164