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20577310992 = 24327192937049
BaseRepresentation
bin10011001010100000…
…001101100100010000
31222010001211201001100
4103022200031210100
5314120242422432
613241511104400
71325632154220
oct231240154420
958101751040
1020577310992
1187aa3a0347
123ba3372100
131c2c18b184
14dd2c44080
158067a607c
hex4ca80d910

20577310992 has 240 divisors, whose sum is σ = 71669520000. Its totient is φ = 5377591296.

The previous prime is 20577310979. The next prime is 20577310993. The reversal of 20577310992 is 29901377502.

It is a super-2 number, since 2×205773109922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20577310993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536884 + ... + 573932.

It is an arithmetic number, because the mean of its divisors is an integer number (298623000).

Almost surely, 220577310992 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 20577310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834760000).

20577310992 is an abundant number, since it is smaller than the sum of its proper divisors (51092209008).

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

20577310992 is a wasteful number, since it uses less digits than its factorization.

20577310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37118 (or 37109 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 20577310992 in words is "twenty billion, five hundred seventy-seven million, three hundred ten thousand, nine hundred ninety-two".