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13972852107 = 352343531097
BaseRepresentation
bin11010000001101100…
…01100110110001011
31100001210101102200000
431000312030312023
5212104022231412
610230302414043
71003155166104
oct150066146613
940053342600
1013972852107
115a20346665
12285b591323
131418ac5136
14967a4b3ab
1556ba6e4dc
hex340d8cd8b

13972852107 has 96 divisors (see below), whose sum is σ = 22790896128. Its totient is φ = 8531018496.

The previous prime is 13972852081. The next prime is 13972852129. The reversal of 13972852107 is 70125827931.

13972852107 is a `hidden beast` number, since 13 + 97 + 28 + 521 + 0 + 7 = 666.

It is not a de Polignac number, because 13972852107 - 27 = 13972851979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13972852207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12736783 + ... + 12737879.

It is an arithmetic number, because the mean of its divisors is an integer number (237405168).

Almost surely, 213972852107 is an apocalyptic number.

13972852107 is a deficient number, since it is larger than the sum of its proper divisors (8818044021).

13972852107 is a wasteful number, since it uses less digits than its factorization.

13972852107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13972852107 in words is "thirteen billion, nine hundred seventy-two million, eight hundred fifty-two thousand, one hundred seven".

Divisors: 1 3 9 23 27 43 53 69 81 129 159 207 243 387 477 621 989 1097 1161 1219 1431 1863 2279 2967 3291 3483 3657 4293 5589 6837 8901 9873 10449 10971 12879 20511 25231 26703 29619 32913 47171 52417 58141 61533 75693 80109 88857 98739 141513 157251 174423 184599 227079 240327 266571 296217 424539 471753 523269 553797 681237 1084933 1273617 1337243 1415259 1569807 2043711 2500063 3254799 3820851 4011729 4245777 4709421 6131133 7500189 9764397 11462553 12035187 12737331 14128263 22500567 29293191 36105561 57501449 67501701 87879573 108316683 172504347 202505103 263638719 324950049 517513041 607515309 1552539123 4657617369 13972852107