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113461116432 = 24323021102679
BaseRepresentation
bin110100110101011001…
…1110011111000010000
3101211212022002220112120
41221222303303320100
53324332021211212
6124042345254240
711124446401626
oct1515263637020
9354768086476
10113461116432
114413392a114
1219ba5a94380
13a9125a0bb1
1456c4b3d516
152e40dc388c
hex1a6acf3e10

113461116432 has 40 divisors (see below), whose sum is σ = 293123471040. Its totient is φ = 37818360960.

The previous prime is 113461116421. The next prime is 113461116467. The reversal of 113461116432 is 234611164311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113461116393 and 113461116402.

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 7 ways as a sum of consecutive naturals, for example, 1053669 + ... + 1156347.

It is an arithmetic number, because the mean of its divisors is an integer number (7328086776).

Almost surely, 2113461116432 is an apocalyptic number.

113461116432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113461116432 is an abundant number, since it is smaller than the sum of its proper divisors (179662354608).

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

113461116432 is a wasteful number, since it uses less digits than its factorization.

113461116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125711 (or 125705 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The spelling of 113461116432 in words is "one hundred thirteen billion, four hundred sixty-one million, one hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 23021 46042 69063 92084 102679 138126 184168 205358 276252 308037 368336 410716 552504 616074 821432 1105008 1232148 1642864 2464296 4928592 2363773259 4727546518 7091319777 9455093036 14182639554 18910186072 28365279108 37820372144 56730558216 113461116432