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20013615972 = 22337123721401
BaseRepresentation
bin10010101000111001…
…111000101101100100
31220122210011000212000
4102220321320231210
5311441441202342
613105533125300
71305645633420
oct225071705544
956583130760
1020013615972
118540189999
123a66629830
131b6c46431c
14d7c02bb80
157c205a44c
hex4a8e78b64

20013615972 has 96 divisors (see below), whose sum is σ = 59350314240. Its totient is φ = 5713286400.

The previous prime is 20013615961. The next prime is 20013615989. The reversal of 20013615972 is 27951631002.

20013615972 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 61 + 597 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924472 + ... + 945872.

It is an arithmetic number, because the mean of its divisors is an integer number (618232440).

Almost surely, 220013615972 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 20013615972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29675157120).

20013615972 is an abundant number, since it is smaller than the sum of its proper divisors (39336698268).

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

20013615972 is a wasteful number, since it uses less digits than its factorization.

20013615972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22658 (or 22650 counting only the distinct ones).

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

The spelling of 20013615972 in words is "twenty billion, thirteen million, six hundred fifteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1237 2474 3711 4948 7422 8659 11133 14844 17318 21401 22266 25977 33399 34636 42802 44532 51954 64203 66798 77931 85604 103908 128406 133596 149807 155862 192609 233793 256812 299614 311724 385218 449421 467586 577827 599228 770436 898842 935172 1155654 1348263 1797684 2311308 2696526 4044789 5393052 8089578 16179156 26473037 52946074 79419111 105892148 158838222 185311259 238257333 317676444 370622518 476514666 555933777 714771999 741245036 953029332 1111867554 1429543998 1667801331 2223735108 2859087996 3335602662 5003403993 6671205324 10006807986 20013615972