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20411138976 = 253271784561
BaseRepresentation
bin10011000000100110…
…010100001110100000
31221200111011021220020
4103000212110032200
5313300222421401
613213213313440
71321543550544
oct230046241640
957614137806
1020411138976
1187246128a8
123b57795880
131c03919337
14db8b49a24
157e6dced36
hex4c09943a0

20411138976 has 48 divisors (see below), whose sum is σ = 53777017728. Its totient is φ = 6778598400.

The previous prime is 20411138959. The next prime is 20411138977. The reversal of 20411138976 is 67983111402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×204111389762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20411138977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366265 + ... + 418296.

It is an arithmetic number, because the mean of its divisors is an integer number (1120354536).

Almost surely, 220411138976 is an apocalyptic number.

It is an amenable number.

20411138976 is an abundant number, since it is smaller than the sum of its proper divisors (33365878752).

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

20411138976 is a wasteful number, since it uses less digits than its factorization.

20411138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784845 (or 784837 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 20411138976 in words is "twenty billion, four hundred eleven million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016 784561 1569122 2353683 3138244 4707366 6276488 9414732 12552976 18829464 25105952 37658928 75317856 212616031 425232062 637848093 850464124 1275696186 1700928248 2551392372 3401856496 5102784744 6803712992 10205569488 20411138976