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20081337372 = 22336119115959
BaseRepresentation
bin10010101100111100…
…001110010000011100
31220211111120122011000
4102230330032100130
5312111310243442
613120352430300
71310430360045
oct225474162034
956744518130
1020081337372
118575433a98
123a85248390
131b804b5965
14d870198cc
157c7e85d4c
hex4acf0e41c

20081337372 has 96 divisors (see below), whose sum is σ = 53196595200. Its totient is φ = 6549163200.

The previous prime is 20081337371. The next prime is 20081337439. The reversal of 20081337372 is 27373318002.

20081337372 is a `hidden beast` number, since 200 + 8 + 13 + 373 + 72 = 666.

It is a super-2 number, since 2×200813373722 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20081337371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250329 + ... + 1266287.

It is an arithmetic number, because the mean of its divisors is an integer number (554131200).

Almost surely, 220081337372 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 20081337372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598297600).

20081337372 is an abundant number, since it is smaller than the sum of its proper divisors (33115257828).

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

20081337372 is a wasteful number, since it uses less digits than its factorization.

20081337372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 20081337372 in words is "twenty billion, eighty-one million, three hundred thirty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 191 244 366 382 549 573 732 764 1098 1146 1647 1719 2196 2292 3294 3438 5157 6588 6876 10314 11651 15959 20628 23302 31918 34953 46604 47877 63836 69906 95754 104859 139812 143631 191508 209718 287262 314577 419436 430893 574524 629154 861786 973499 1258308 1723572 1946998 2920497 3048169 3893996 5840994 6096338 8761491 9144507 11681988 12192676 17522982 18289014 26284473 27433521 35045964 36578028 52568946 54867042 82300563 105137892 109734084 164601126 185938309 329202252 371876618 557814927 743753236 1115629854 1673444781 2231259708 3346889562 5020334343 6693779124 10040668686 20081337372