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16980804192 = 2531122372109
BaseRepresentation
bin11111101000010001…
…01000001001100000
31121211102101020012210
433310020220021200
5234234041213232
611444553322120
71140541311522
oct176410501140
947742336183
1016980804192
117224248580
12335aa06340
1317a8032041
14b71323a12
15695b845cc
hex3f4228260

16980804192 has 96 divisors (see below), whose sum is σ = 48845583360. Its totient is φ = 5122552320.

The previous prime is 16980804173. The next prime is 16980804223. The reversal of 16980804192 is 29140808961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×169808041922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199434 + ... + 271542.

It is an arithmetic number, because the mean of its divisors is an integer number (508808160).

Almost surely, 216980804192 is an apocalyptic number.

16980804192 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 16980804192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422791680).

16980804192 is an abundant number, since it is smaller than the sum of its proper divisors (31864779168).

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

16980804192 is a wasteful number, since it uses less digits than its factorization.

16980804192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72356 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 16980804192 in words is "sixteen billion, nine hundred eighty million, eight hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 264 352 446 528 669 892 1056 1338 1784 2453 2676 3568 4906 5352 7136 7359 9812 10704 14718 19624 21408 29436 39248 58872 72109 78496 117744 144218 216327 235488 288436 432654 576872 793199 865308 1153744 1586398 1730616 2307488 2379597 3172796 3461232 4759194 6345592 6922464 9518388 12691184 16080307 19036776 25382368 32160614 38073552 48240921 64321228 76147104 96481842 128642456 176883377 192963684 257284912 353766754 385927368 514569824 530650131 707533508 771854736 1061300262 1415067016 1543709472 2122600524 2830134032 4245201048 5660268064 8490402096 16980804192