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17212372992 = 211341943127
BaseRepresentation
bin10000000001111011…
…111111100000000000
31122102120010010220000
4100001323333200000
5240222331413432
611523544520000
71146352520313
oct200173774000
948376103800
1017212372992
117332a32651
123404480000
131813cc03b9
14b93da297a
156ab17757c
hex401eff800

17212372992 has 480 divisors, whose sum is σ = 55812556800. Its totient is φ = 5267275776.

The previous prime is 17212372913. The next prime is 17212372997. The reversal of 17212372992 is 29927321271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17212372997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135530433 + ... + 135530559.

It is an arithmetic number, because the mean of its divisors is an integer number (116276160).

Almost surely, 217212372992 is an apocalyptic number.

17212372992 is a gapful number since it is divisible by the number (12) 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 17212372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27906278400).

17212372992 is an abundant number, since it is smaller than the sum of its proper divisors (38600183808).

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

17212372992 is a wasteful number, since it uses less digits than its factorization.

17212372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 17212372992 in words is "seventeen billion, two hundred twelve million, three hundred seventy-two thousand, nine hundred ninety-two".