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16830416616 = 2331326761933
BaseRepresentation
bin11111010110010101…
…11100011011101000
31121102221101202020120
433223022330123220
5233432041312431
611422022123240
71134034116006
oct175312743350
947387352216
1016830416616
117157371122
123318580520
131782b28900
14b59377a76
1568787a196
hex3eb2bc6e8

16830416616 has 96 divisors (see below), whose sum is σ = 46242401760. Its totient is φ = 5101214976.

The previous prime is 16830416611. The next prime is 16830416623. The reversal of 16830416616 is 61661403861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16830416611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240786 + ... + 302718.

It is an arithmetic number, because the mean of its divisors is an integer number (481691685).

Almost surely, 216830416616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16830416616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121200880).

16830416616 is an abundant number, since it is smaller than the sum of its proper divisors (29411985144).

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

16830416616 is a wasteful number, since it uses less digits than its factorization.

16830416616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62035 (or 62018 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 16830416616 in words is "sixteen billion, eight hundred thirty million, four hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 169 201 268 312 338 402 507 536 676 804 871 1014 1352 1608 1742 2028 2613 3484 4056 5226 6968 10452 11323 20904 22646 33969 45292 61933 67938 90584 123866 135876 185799 247732 271752 371598 495464 743196 805129 1486392 1610258 2415387 3220516 4149511 4830774 6441032 8299022 9661548 10466677 12448533 16598044 19323096 20933354 24897066 31400031 33196088 41866708 49794132 53943643 62800062 83733416 99588264 107887286 125600124 161830929 215774572 251200248 323661858 431549144 647323716 701267359 1294647432 1402534718 2103802077 2805069436 4207604154 5610138872 8415208308 16830416616