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13135346165232 = 243423440665129
BaseRepresentation
bin1011111100100100111110…
…1001000110010111110000
31201111201121212012002220000
42333021033221012113300
53210202142104241412
643534143354350000
72523666060126324
oct277111751062760
951451555162800
1013135346165232
11420473a5219a5
121581874a2b300
13743872331415
14335a7b541984
1517ba31a2e4dc
hexbf24fa465f0

13135346165232 has 100 divisors (see below), whose sum is σ = 39670437663120. Its totient is φ = 4188081376512.

The previous prime is 13135346165231. The next prime is 13135346165239. The reversal of 13135346165232 is 23256164353131.

13135346165232 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 3 + 4 + 616 + 5 + 23 + 2 = 666.

It is a super-2 number, since 2×131353461652322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135346165231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 220302757 + ... + 220362372.

Almost surely, 213135346165232 is an apocalyptic number.

13135346165232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13135346165232 is an abundant number, since it is smaller than the sum of its proper divisors (26535091497888).

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

13135346165232 is a wasteful number, since it uses less digits than its factorization.

13135346165232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440665172 (or 440665157 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 13135346165232 in words is "thirteen trillion, one hundred thirty-five billion, three hundred forty-six million, one hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 440665129 881330258 1321995387 1762660516 2643990774 3525321032 3965986161 5287981548 7050642064 7931972322 10135297967 10575963096 11897958483 15863944644 20270595934 21151926192 23795916966 30405893901 31727889288 35693875449 40541191868 47591833932 60811787802 63455778576 71387750898 81082383736 91217681703 95183667864 121623575604 142775501796 162164767472 182435363406 190367335728 243247151208 273653045109 285551003592 364870726812 486494302416 547306090218 571102007184 729741453624 820959135327 1094612180436 1459482907248 1641918270654 2189224360872 3283836541308 4378448721744 6567673082616 13135346165232