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139716912960 = 263551999029
BaseRepresentation
bin1000001000011111000…
…1101110011101000000
3111100122010000120100000
42002013301232131000
54242120012203320
6144103550200000
713044213110442
oct2020761563500
9440563016300
10139716912960
1154287611709
12230b2ab3000
1310238036481
146a95bbc492
15397ae53c90
hex2087c6e740

139716912960 has 336 divisors, whose sum is σ = 500926608000. Its totient is φ = 37066512384.

The previous prime is 139716912931. The next prime is 139716912961. The reversal of 139716912960 is 69219617931.

139716912960 is a `hidden beast` number, since 1 + 397 + 169 + 1 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139716912897 and 139716912906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139716912961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15469726 + ... + 15478754.

It is an arithmetic number, because the mean of its divisors is an integer number (1490853000).

Almost surely, 2139716912960 is an apocalyptic number.

139716912960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139716912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250463304000).

139716912960 is an abundant number, since it is smaller than the sum of its proper divisors (361209695040).

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

139716912960 is an equidigital number, since it uses as much as digits as its factorization.

139716912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

It can be divided in two parts, 139716 and 912960, that added together give a square (1052676 = 10262).

The spelling of 139716912960 in words is "one hundred thirty-nine billion, seven hundred sixteen million, nine hundred twelve thousand, nine hundred sixty".