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12396197702304 = 25321319174260539
BaseRepresentation
bin1011010001100011011011…
…1101011110101010100000
31121220001202022221201220200
42310120312331132222200
53111044403102433204
642210422401505200
72416411222634343
oct264306675365240
947801668851820
1012396197702304
113a4a21a486709
121482571642200
136bbc5836aa20
1430bd9cbb245a
151676c0ae7539
hexb4636f5eaa0

12396197702304 has 144 divisors (see below), whose sum is σ = 39961427032800. Its totient is φ = 3613466515968.

The previous prime is 12396197702303. The next prime is 12396197702381. The reversal of 12396197702304 is 40320779169321.

12396197702304 is a `hidden beast` number, since 1 + 2 + 396 + 19 + 7 + 7 + 0 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12396197702303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87059134 + ... + 87201405.

It is an arithmetic number, because the mean of its divisors is an integer number (277509909950).

Almost surely, 212396197702304 is an apocalyptic number.

It is an amenable number.

12396197702304 is an abundant number, since it is smaller than the sum of its proper divisors (27565229330496).

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

12396197702304 is a wasteful number, since it uses less digits than its factorization.

12396197702304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174260587 (or 174260576 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 12396197702304 in words is "twelve trillion, three hundred ninety-six billion, one hundred ninety-seven million, seven hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 174260539 348521078 522781617 697042156 1045563234 1394084312 1568344851 2091126468 2265387007 2788168624 3136689702 3310950241 4182252936 4530774014 5576337248 6273379404 6621900482 6796161021 8364505872 9061548028 9932850723 12546758808 13243800964 13592322042 16729011744 18123096056 19865701446 20388483063 25093517616 26487601928 27184644084 29798552169 36246192112 39731402892 40776966126 43042353133 50187035232 52975203856 54369288168 59597104338 72492384224 79462805784 81553932252 86084706266 105950407712 108738576336 119194208676 129127059399 158925611568 163107864504 172169412532 217477152672 238388417352 258254118798 317851223136 326215729008 344338825064 387381178197 476776834704 516508237596 652431458016 688677650128 774762356394 953553669408 1033016475192 1377355300256 1549524712788 2066032950384 3099049425576 4132065900768 6198098851152 12396197702304