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139435960032 = 25331736725867
BaseRepresentation
bin1000000111011100000…
…1111110011011100000
3111022220112100200101000
42001313001332123200
54241031101210112
6144020032312000
713034232050625
oct2016701763340
9438815320330
10139435960032
1154152a67606
12230349a2600
13101c1a77135
146a6a76634c
1539614587dc
hex207707e6e0

139435960032 has 192 divisors, whose sum is σ = 431801072640. Its totient is φ = 43623733248.

The previous prime is 139435960021. The next prime is 139435960033. The reversal of 139435960032 is 230069534931.

139435960032 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 3 + 5 + 9 + 600 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 139435960032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139435960033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377563 + ... + 5403429.

It is an arithmetic number, because the mean of its divisors is an integer number (2248963920).

Almost surely, 2139435960032 is an apocalyptic number.

139435960032 is a gapful number since it is divisible by the number (12) 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 139435960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215900536320).

139435960032 is an abundant number, since it is smaller than the sum of its proper divisors (292365112608).

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

139435960032 is a wasteful number, since it uses less digits than its factorization.

139435960032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26270 (or 26256 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 139435960032 in words is "one hundred thirty-nine billion, four hundred thirty-five million, nine hundred sixty thousand, thirty-two".