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20917518336 = 21932111331
BaseRepresentation
bin10011011110110010…
…000000000000000000
31222222210000000210100
4103132302000000000
5320314341041321
613335343002400
71340232654321
oct233662000000
958883000710
1020917518336
118964437140
124079299400
131c847c5cb0
1410260c2448
158265a8326
hex4dec80000

20917518336 has 480 divisors, whose sum is σ = 73282809600. Its totient is φ = 5662310400.

The previous prime is 20917518313. The next prime is 20917518359. The reversal of 20917518336 is 63381571902.

It is an interprime number because it is at equal distance from previous prime (20917518313) and next prime (20917518359).

It is a junction number, because it is equal to n+sod(n) for n = 20917518291 and 20917518300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674758641 + ... + 674758671.

It is an arithmetic number, because the mean of its divisors is an integer number (152672520).

Almost surely, 220917518336 is an apocalyptic number.

20917518336 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 20917518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36641404800).

20917518336 is an abundant number, since it is smaller than the sum of its proper divisors (52365291264).

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

20917518336 is an equidigital number, since it uses as much as digits as its factorization.

20917518336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20917518336 in words is "twenty billion, nine hundred seventeen million, five hundred eighteen thousand, three hundred thirty-six".