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20120861376 = 2634721119379
BaseRepresentation
bin10010101111010010…
…111111101011000000
31220221020221122220000
4102233102333223000
5312201420031001
613124323520000
71311420333300
oct225722775300
956836848800
1020120861376
118595779a60
123a96529000
131b88743945
14d8c387600
157cb691a86
hex4af4bfac0

20120861376 has 840 divisors, whose sum is σ = 79883812800. Its totient is φ = 4938071040.

The previous prime is 20120861363. The next prime is 20120861381. The reversal of 20120861376 is 67316802102.

20120861376 is a `hidden beast` number, since 20 + 1 + 208 + 61 + 376 = 666.

It is a super-2 number, since 2×201208613762 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20120861376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53089155 + ... + 53089533.

Almost surely, 220120861376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39941906400).

20120861376 is an abundant number, since it is smaller than the sum of its proper divisors (59762951424).

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

20120861376 is a wasteful number, since it uses less digits than its factorization.

20120861376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20120861376 in words is "twenty billion, one hundred twenty million, eight hundred sixty-one thousand, three hundred seventy-six".