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139121332560 = 243257891931607
BaseRepresentation
bin1000000110010001000…
…1110001000101010000
3111022002121022221121200
42001210101301011100
54234410030120220
6143524512551200
713023361546440
oct2014421610520
9438077287550
10139121332560
1154001402301
1222b67552500
1310171827432
146a3aa66120
153943a0a890
hex2064471150

139121332560 has 480 divisors, whose sum is σ = 543095953920. Its totient is φ = 31259492352.

The previous prime is 139121332529. The next prime is 139121332579. The reversal of 139121332560 is 65233121931.

139121332560 is a `hidden beast` number, since 1 + 3 + 91 + 2 + 1 + 3 + 3 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86571277 + ... + 86572883.

It is an arithmetic number, because the mean of its divisors is an integer number (1131449904).

Almost surely, 2139121332560 is an apocalyptic number.

139121332560 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 139121332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271547976960).

139121332560 is an abundant number, since it is smaller than the sum of its proper divisors (403974621360).

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

139121332560 is a wasteful number, since it uses less digits than its factorization.

139121332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 139121332560 in words is "one hundred thirty-nine billion, one hundred twenty-one million, three hundred thirty-two thousand, five hundred sixty".