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139201118208 = 215323712757
BaseRepresentation
bin1000000110100100001…
…0001000000000000000
3111022022011110110221200
42001221002020000000
54240040441240313
6143540443021200
713025350660605
oct2015102100000
9438264413850
10139201118208
1154042447459
1222b8a20a800
1310185211089
146a474b46ac
15394aa1ab73
hex2069088000

139201118208 has 192 divisors, whose sum is σ = 413031191820. Its totient is φ = 45142769664.

The previous prime is 139201118197. The next prime is 139201118249. The reversal of 139201118208 is 802811102931.

It is a happy number.

139201118208 is a `hidden beast` number, since 139 + 201 + 118 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129461796864 + 9739321344 = 359808^2 + 98688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10905366 + ... + 10918122.

Almost surely, 2139201118208 is an apocalyptic number.

139201118208 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 139201118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206515595910).

139201118208 is an abundant number, since it is smaller than the sum of its proper divisors (273830073612).

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

139201118208 is an equidigital number, since it uses as much as digits as its factorization.

139201118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 139201118208 in words is "one hundred thirty-nine billion, two hundred one million, one hundred eighteen thousand, two hundred eight".