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139198929408 = 2933711251521
BaseRepresentation
bin1000000110100011100…
…1110001101000000000
3111022022000100021111000
42001220321301220000
54240034411220113
6143540324052000
713025323243350
oct2015071615000
9438260307430
10139198929408
1154041191a30
1222b89534000
1310184925a26
146a470a4b60
15394a737373
hex2068e71a00

139198929408 has 640 divisors, whose sum is σ = 516746926080. Its totient is φ = 35942400000.

The previous prime is 139198929361. The next prime is 139198929409. The reversal of 139198929408 is 804929891931.

139198929408 is a `hidden beast` number, since 1 + 39 + 198 + 9 + 2 + 9 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (139198929409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267176188 + ... + 267176708.

It is an arithmetic number, because the mean of its divisors is an integer number (807417072).

Almost surely, 2139198929408 is an apocalyptic number.

139198929408 is a gapful number since it is divisible by the number (18) 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 139198929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258373463040).

139198929408 is an abundant number, since it is smaller than the sum of its proper divisors (377547996672).

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

139198929408 is a wasteful number, since it uses less digits than its factorization.

139198929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 139198929408 in words is "one hundred thirty-nine billion, one hundred ninety-eight million, nine hundred twenty-nine thousand, four hundred eight".