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10859913216 = 21333371327
BaseRepresentation
bin10100001110100110…
…10010000000000000
31001000211211202022000
422013103102000000
5134220114210331
64553341344000
7533055511365
oct120723220000
931024752260
1010859913216
114673157599
122130b68000
131040bb9969
1475044646c
1543861c0e6
hex2874d2000

10859913216 has 224 divisors, whose sum is σ = 33070068480. Its totient is φ = 3519479808.

The previous prime is 10859913199. The next prime is 10859913221. The reversal of 10859913216 is 61231995801.

10859913216 is a `hidden beast` number, since 10 + 8 + 599 + 1 + 32 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8183145 + ... + 8184471.

Almost surely, 210859913216 is an apocalyptic number.

10859913216 is a gapful number since it is divisible by the number (16) 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 10859913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535034240).

10859913216 is an abundant number, since it is smaller than the sum of its proper divisors (22210155264).

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

10859913216 is an equidigital number, since it uses as much as digits as its factorization.

10859913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10859913216 in words is "ten billion, eight hundred fifty-nine million, nine hundred thirteen thousand, two hundred sixteen".