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20972137489921 = 3153125912797927
BaseRepresentation
bin1001100010010111101001…
…10011100010011000000001
32202020220202022122202201001
410301023310303202120001
510222101414144134141
6112334244510212001
74263121055241052
oct461136463423001
982226668582631
1020972137489921
1167562629637a2
12242865a4b4001
13b91882ca0507
145270b20a4729
15265800493a31
hex1312f4ce2601

20972137489921 has 32 divisors (see below), whose sum is σ = 22094689075200. Its totient is φ = 19878799861440.

The previous prime is 20972137489913. The next prime is 20972137490047. The reversal of 20972137489921 is 12998473127902.

It is a cyclic number.

It is not a de Polignac number, because 20972137489921 - 23 = 20972137489913 is a prime.

It is a super-2 number, since 2×209721374899212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20972137439921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2645654860 + ... + 2645662786.

It is an arithmetic number, because the mean of its divisors is an integer number (690459033600).

Almost surely, 220972137489921 is an apocalyptic number.

It is an amenable number.

20972137489921 is a deficient number, since it is larger than the sum of its proper divisors (1122551585279).

20972137489921 is a wasteful number, since it uses less digits than its factorization.

20972137489921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549.

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 20972137489921 in words is "twenty trillion, nine hundred seventy-two billion, one hundred thirty-seven million, four hundred eighty-nine thousand, nine hundred twenty-one".

Divisors: 1 31 53 1259 1279 1643 7927 39029 39649 66727 67787 245737 420131 1610261 2068537 2101397 9980093 10138633 13024061 49918091 85343833 309382883 314297623 528944929 537347549 2645658823 12764538947 16397292799 16657774019 395700707357 676520564191 20972137489921