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20767897920 = 2635711225541
BaseRepresentation
bin10011010101110111…
…001111100101000000
31222121100110112011110
4103111313033211000
5320013040213140
613312440043320
71333435135230
oct232567174500
958540415143
1020767897920
118897a34100
124037163540
131c5c7caac3
141010295cc0
158183a1380
hex4d5dcf940

20767897920 has 336 divisors, whose sum is σ = 82834545024. Its totient is φ = 4315238400.

The previous prime is 20767897907. The next prime is 20767897957. The reversal of 20767897920 is 2979876702.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800350 + ... + 825890.

It is an arithmetic number, because the mean of its divisors is an integer number (246531384).

Almost surely, 220767897920 is an apocalyptic number.

20767897920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20767897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41417272512).

20767897920 is an abundant number, since it is smaller than the sum of its proper divisors (62066647104).

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

20767897920 is a wasteful number, since it uses less digits than its factorization.

20767897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25590 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 20767897920 in words is "twenty billion, seven hundred sixty-seven million, eight hundred ninety-seven thousand, nine hundred twenty".