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20238918336 = 26337131767113
BaseRepresentation
bin10010110110010101…
…010110001011000000
31221020111002120121000
4102312111112023000
5312422130341321
613144142132000
71314352652550
oct226625261300
957214076530
1020238918336
11864638399a
123b09b81000
131ba703a330
14d9dd19160
157d6c11826
hex4b65562c0

20238918336 has 896 divisors, whose sum is σ = 79390402560. Its totient is φ = 4904976384.

The previous prime is 20238918211. The next prime is 20238918377. The reversal of 20238918336 is 63381983202.

It is a super-2 number, since 2×202389183362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20238918291 and 20238918300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179105416 + ... + 179105528.

It is an arithmetic number, because the mean of its divisors is an integer number (88605360).

Almost surely, 220238918336 is an apocalyptic number.

20238918336 is a gapful number since it is divisible by the number (26) 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 20238918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695201280).

20238918336 is an abundant number, since it is smaller than the sum of its proper divisors (59151484224).

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

20238918336 is a wasteful number, since it uses less digits than its factorization.

20238918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20238918336 in words is "twenty billion, two hundred thirty-eight million, nine hundred eighteen thousand, three hundred thirty-six".