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139374050112 = 2633111729107139
BaseRepresentation
bin1000000111001101010…
…1110011101101000000
3111022202012212022221000
42001303111303231000
54240414224100422
6144005541332000
713032550610343
oct2016325635500
9438665768830
10139374050112
1154121021790
1223018107000
13101b1caba4b
146a6244c45a
15395acc9cac
hex2073573b40

139374050112 has 896 divisors, whose sum is σ = 497726208000. Its totient is φ = 37747261440.

The previous prime is 139374050063. The next prime is 139374050117. The reversal of 139374050112 is 211050473931.

139374050112 is a `hidden beast` number, since 13 + 93 + 7 + 40 + 501 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139374050117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1002690939 + ... + 1002691077.

It is an arithmetic number, because the mean of its divisors is an integer number (555498000).

Almost surely, 2139374050112 is an apocalyptic number.

139374050112 is a gapful number since it is divisible by the number (12) 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 139374050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248863104000).

139374050112 is an abundant number, since it is smaller than the sum of its proper divisors (358352157888).

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

139374050112 is a wasteful number, since it uses less digits than its factorization.

139374050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 139374050112 in words is "one hundred thirty-nine billion, three hundred seventy-four million, fifty thousand, one hundred twelve".