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16909347840 = 2103571117292
BaseRepresentation
bin11111011111110000…
…00010110000000000
31121122102220212112020
433233320002300000
5234112243112330
611433522001440
71136013041130
oct175770026000
947572825466
1016909347840
117197982340
12333aaa6280
1317962a3688
14b65a42ac0
1568e76c210
hex3efe02c00

16909347840 has 1056 divisors, whose sum is σ = 73941963264. Its totient is φ = 3192913920.

The previous prime is 16909347839. The next prime is 16909347853. The reversal of 16909347840 is 4874390961.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×169093478402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583080946 + ... + 583080974.

Almost surely, 216909347840 is an apocalyptic number.

16909347840 is a gapful number since it is divisible by the number (10) 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 16909347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970981632).

16909347840 is an abundant number, since it is smaller than the sum of its proper divisors (57032615424).

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

16909347840 is a wasteful number, since it uses less digits than its factorization.

16909347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 16909347840 in words is "sixteen billion, nine hundred nine million, three hundred forty-seven thousand, eight hundred forty".