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84697138404 = 22341779194647
BaseRepresentation
bin100111011100001010…
…1111100010011100100
322002121200121102120000
41032320111330103210
52341424431412104
6102524225341300
76055605540444
oct1167025742344
9262550542500
1084697138404
1132a1336574a
12144b8a97830
137caa303258
144156920124
15230aa4d639
hex13b857c4e4

84697138404 has 120 divisors (see below), whose sum is σ = 237408272640. Its totient is φ = 26235166464.

The previous prime is 84697138397. The next prime is 84697138411. The reversal of 84697138404 is 40483179648.

84697138404 is a `hidden beast` number, since 8 + 469 + 7 + 138 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84697138397) and next prime (84697138411).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337809 + ... + 532455.

It is an arithmetic number, because the mean of its divisors is an integer number (1978402272).

Almost surely, 284697138404 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 84697138404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118704136320).

84697138404 is an abundant number, since it is smaller than the sum of its proper divisors (152711134236).

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

84697138404 is a wasteful number, since it uses less digits than its factorization.

84697138404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194759 (or 194748 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84697138404 in words is "eighty-four billion, six hundred ninety-seven million, one hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 79 81 102 108 153 158 162 204 237 306 316 324 459 474 612 711 918 948 1343 1377 1422 1836 2133 2686 2754 2844 4029 4266 5372 5508 6399 8058 8532 12087 12798 16116 24174 25596 36261 48348 72522 108783 145044 194647 217566 389294 435132 583941 778588 1167882 1751823 2335764 3308999 3503646 5255469 6617998 7007292 9926997 10510938 13235996 15377113 15766407 19853994 21021876 29780991 30754226 31532814 39707988 46131339 59561982 61508452 63065628 89342973 92262678 119123964 138394017 178685946 184525356 261410921 268028919 276788034 357371892 415182051 522821842 536057838 553576068 784232763 830364102 1045643684 1072115676 1245546153 1568465526 1660728204 2352698289 2491092306 3136931052 4705396578 4982184612 7058094867 9410793156 14116189734 21174284601 28232379468 42348569202 84697138404