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139802785920 = 2734572471171
BaseRepresentation
bin1000001000110011100…
…1010011100010000000
3111100212002121100220000
42002030321103202000
54242304003122140
6144120254520000
713046305034100
oct2021471234200
9440762540800
10139802785920
11543210342a6
1223117806000
131024ca71a85
146aa3373200
153983767a30
hex208ce53880

139802785920 has 960 divisors, whose sum is σ = 593636376960. Its totient is φ = 31248322560.

The previous prime is 139802785907. The next prime is 139802785921. The reversal of 139802785920 is 29587208931.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (139802785921) 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 119 ways as a sum of consecutive naturals, for example, 119386935 + ... + 119388105.

It is an arithmetic number, because the mean of its divisors is an integer number (618371226).

Almost surely, 2139802785920 is an apocalyptic number.

139802785920 is a gapful number since it is divisible by the number (10) 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 139802785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296818188480).

139802785920 is an abundant number, since it is smaller than the sum of its proper divisors (453833591040).

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

139802785920 is a wasteful number, since it uses less digits than its factorization.

139802785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 139802785920 in words is "one hundred thirty-nine billion, eight hundred two million, seven hundred eighty-five thousand, nine hundred twenty".