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139857556608 = 273371119139199
BaseRepresentation
bin1000001001000000101…
…0001111010010000000
3111100222220200000011000
42002100022033102000
54242412013302413
6144125532452000
713050541421310
oct2022012172200
9440886600130
10139857556608
1154349a43330
122313201a000
131025b20a773
146aaa74d440
153988486073
hex209028f480

139857556608 has 1024 divisors, whose sum is σ = 548352000000. Its totient is φ = 33995427840.

The previous prime is 139857556607. The next prime is 139857556637. The reversal of 139857556608 is 806655758931.

139857556608 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 575 + 56 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×1398575566082 (a number of 23 digits) contains 22 as substring.

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 (139857556607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 702801693 + ... + 702801891.

It is an arithmetic number, because the mean of its divisors is an integer number (535500000).

Almost surely, 2139857556608 is an apocalyptic number.

139857556608 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 139857556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000000).

139857556608 is an abundant number, since it is smaller than the sum of its proper divisors (408494443392).

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

139857556608 is a wasteful number, since it uses less digits than its factorization.

139857556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 139857556608 in words is "one hundred thirty-nine billion, eight hundred fifty-seven million, five hundred fifty-six thousand, six hundred eight".