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112966948548 = 22324176535873
BaseRepresentation
bin110100100110101011…
…0101101011011000100
3101210120212020120122100
41221031112231123010
53322324014323143
6123521333432100
711106266135136
oct1511526553304
9353525216570
10112966948548
11439aa996503
1219a8849b630
13a8640ab56c
145679265056
152e1280d6d3
hex1a4d5ad6c4

112966948548 has 36 divisors (see below), whose sum is σ = 292520110428. Its totient is φ = 36737218560.

The previous prime is 112966948547. The next prime is 112966948597. The reversal of 112966948548 is 845849669211.

112966948548 is a `hidden beast` number, since 1 + 1 + 2 + 96 + 69 + 485 + 4 + 8 = 666.

112966948548 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63180844164 + 49786104384 = 251358^2 + 223128^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (112966948547) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38266461 + ... + 38269412.

It is an arithmetic number, because the mean of its divisors is an integer number (8125558623).

Almost surely, 2112966948548 is an apocalyptic number.

112966948548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112966948548 is an abundant number, since it is smaller than the sum of its proper divisors (179553161880).

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

112966948548 is a wasteful number, since it uses less digits than its factorization.

112966948548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76535924 (or 76535919 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 112966948548 in words is "one hundred twelve billion, nine hundred sixty-six million, nine hundred forty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 76535873 153071746 229607619 306143492 459215238 688822857 918430476 1377645714 2755291428 3137970793 6275941586 9413912379 12551883172 18827824758 28241737137 37655649516 56483474274 112966948548