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139797966672 = 243272132324367
BaseRepresentation
bin1000001000110010011…
…0111010111101010000
3111100211202112112010100
42002030212322331100
54242301234413142
6144120003332400
713046216052600
oct2021446727520
9440752475110
10139797966672
1154319342551
1223116081100
131024ba75350
146aa287ac00
153983114b4c
hex208c9baf50

139797966672 has 1080 divisors, whose sum is σ = 532101714144. Its totient is φ = 33932473344.

The previous prime is 139797966601. The next prime is 139797966673. The reversal of 139797966672 is 276669797931.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139797966672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139797966673) 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 215 ways as a sum of consecutive naturals, for example, 2086536783 + ... + 2086536849.

Almost surely, 2139797966672 is an apocalyptic number.

139797966672 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 139797966672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266050857072).

139797966672 is an abundant number, since it is smaller than the sum of its proper divisors (392303747472).

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

139797966672 is a wasteful number, since it uses less digits than its factorization.

139797966672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its digits is 324060912, while the sum is 72.

The spelling of 139797966672 in words is "one hundred thirty-nine billion, seven hundred ninety-seven million, nine hundred sixty-six thousand, six hundred seventy-two".