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139957279488 = 2834131992609
BaseRepresentation
bin1000001001011000011…
…0101001101100000000
3111101020212022110020000
42002112012221230000
54243113030420423
6144143454120000
713053162150465
oct2022606515400
9441225273200
10139957279488
11543a0265634
122315b4b0000
1310275a850a0
146ab9aab66c
1539920d3843
hex20961a9b00

139957279488 has 360 divisors, whose sum is σ = 451860948000. Its totient is φ = 42830954496.

The previous prime is 139957279453. The next prime is 139957279493. The reversal of 139957279488 is 884972759931.

139957279488 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 5 + 72 + 79 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 53642728 + ... + 53645336.

It is an arithmetic number, because the mean of its divisors is an integer number (1255169300).

Almost surely, 2139957279488 is an apocalyptic number.

139957279488 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 139957279488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225930474000).

139957279488 is an abundant number, since it is smaller than the sum of its proper divisors (311903668512).

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

139957279488 is a wasteful number, since it uses less digits than its factorization.

139957279488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2826 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 139957279488 in words is "one hundred thirty-nine billion, nine hundred fifty-seven million, two hundred seventy-nine thousand, four hundred eighty-eight".