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16042437216 = 2532132329603
BaseRepresentation
bin11101111000011010…
…00010101001100000
31112102000200020201100
432330031002221200
5230323330442331
611211513034400
71105355315661
oct167415025140
945360606640
1016042437216
1168925a0583
1231386b5a00
1316887c4200
14ac285b368
1563d5c9ae6
hex3bc342a60

16042437216 has 108 divisors (see below), whose sum is σ = 49400058708. Its totient is φ = 4936119552.

The previous prime is 16042437211. The next prime is 16042437241. The reversal of 16042437216 is 61273424061.

16042437216 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 2 + 437 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16042437211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116130 + ... + 213473.

It is an arithmetic number, because the mean of its divisors is an integer number (457407951).

Almost surely, 216042437216 is an apocalyptic number.

16042437216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16042437216 is an abundant number, since it is smaller than the sum of its proper divisors (33357621492).

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

16042437216 is a wasteful number, since it uses less digits than its factorization.

16042437216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329645 (or 329621 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 16042437216 in words is "sixteen billion, forty-two million, four hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 329603 659206 988809 1318412 1977618 2636824 2966427 3955236 4284839 5273648 5932854 7910472 8569678 10547296 11865708 12854517 15820944 17139356 23731416 25709034 31641888 34278712 38563551 47462832 51418068 55702907 68557424 77127102 94925664 102836136 111405814 137114848 154254204 167108721 205672272 222811628 308508408 334217442 411344544 445623256 501326163 617016816 668434884 891246512 1002652326 1234033632 1336869768 1782493024 2005304652 2673739536 4010609304 5347479072 8021218608 16042437216