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139515070464 = 21133721131151
BaseRepresentation
bin1000000111101110111…
…1110000100000000000
3111100010001012220111000
42001323233300200000
54241211324223324
6144031540052000
713036212350400
oct2017357604000
9440101186430
10139515070464
1154193690430
1223057394000
1310205285643
146a7707a800
1539683839c9
hex207bbf0800

139515070464 has 1152 divisors, whose sum is σ = 544958668800. Its totient is φ = 34836480000.

The previous prime is 139515070463. The next prime is 139515070469. The reversal of 139515070464 is 464070515931.

139515070464 is a `hidden beast` number, since 1 + 3 + 9 + 515 + 0 + 70 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (139515070463) 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, 923940789 + ... + 923940939.

It is an arithmetic number, because the mean of its divisors is an integer number (473054400).

Almost surely, 2139515070464 is an apocalyptic number.

139515070464 is a gapful number since it is divisible by the number (14) 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 139515070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272479334400).

139515070464 is an abundant number, since it is smaller than the sum of its proper divisors (405443598336).

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

139515070464 is a wasteful number, since it uses less digits than its factorization.

139515070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 139515070464 in words is "one hundred thirty-nine billion, five hundred fifteen million, seventy thousand, four hundred sixty-four".