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16959331984 = 247246512
BaseRepresentation
bin11111100101101101…
…01101111010010000
31121202220222022212211
433302312231322100
5234213042110414
611442505201504
71140160641400
oct176266557220
947686868784
1016959331984
117213112151
123353790294
1317a37547aa
14b6c534800
15693d423c4
hex3f2dade90

16959331984 has 45 divisors (see below), whose sum is σ = 38231612451. Its totient is φ = 7266722400.

The previous prime is 16959331891. The next prime is 16959331993. The reversal of 16959331984 is 48913395961.

It is a happy number.

The square root of 16959331984 is 130228.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×169593319843 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3644059 + ... + 3648709.

Almost surely, 216959331984 is an apocalyptic number.

16959331984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16959331984 is the 130228-th square number.

It is an amenable number.

16959331984 is an abundant number, since it is smaller than the sum of its proper divisors (21272280467).

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

16959331984 is an frugal number, since it uses more digits than its factorization.

16959331984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 4660 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 58.

The spelling of 16959331984 in words is "sixteen billion, nine hundred fifty-nine million, three hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4651 9302 18604 32557 37208 65114 74416 130228 227899 260456 455798 520912 911596 1823192 3646384 21631801 43263602 86527204 151422607 173054408 302845214 346108816 605690428 1059958249 1211380856 2119916498 2422761712 4239832996 8479665992 16959331984