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16904216628 = 2232131719111827
BaseRepresentation
bin11111011111001000…
…11110000000110100
31121122002021011211100
433233210132000310
5234104434413003
611433220010100
71135621320255
oct175744360064
947562234740
1016904216628
117194a98172
123339230930
1317951c7c60
14b650a8b2c
1568e0a6ba3
hex3ef91e034

16904216628 has 144 divisors (see below), whose sum is σ = 51288793920. Its totient is φ = 4637647872.

The previous prime is 16904216621. The next prime is 16904216633. The reversal of 16904216628 is 82661240961.

16904216628 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 4 + 2 + 16 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16904216621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95251 + ... + 207077.

It is an arithmetic number, because the mean of its divisors is an integer number (356172180).

Almost surely, 216904216628 is an apocalyptic number.

16904216628 is a gapful number since it is divisible by the number (18) 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 16904216628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25644396960).

16904216628 is an abundant number, since it is smaller than the sum of its proper divisors (34384577292).

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

16904216628 is a wasteful number, since it uses less digits than its factorization.

16904216628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111886 (or 111881 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16904216628 in words is "sixteen billion, nine hundred four million, two hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 19 26 34 36 38 39 51 52 57 68 76 78 102 114 117 153 156 171 204 221 228 234 247 306 323 342 442 468 494 612 646 663 684 741 884 969 988 1292 1326 1482 1938 1989 2223 2652 2907 2964 3876 3978 4199 4446 5814 7956 8398 8892 11628 12597 16796 25194 37791 50388 75582 111827 151164 223654 335481 447308 670962 1006443 1341924 1453751 1901059 2012886 2124713 2907502 3802118 4025772 4249426 4361253 5703177 5815004 6374139 7604236 8498852 8722506 11406354 12748278 13083759 17109531 17445012 19122417 22812708 24713767 25496556 26167518 27621269 34219062 36120121 38244834 49427534 52335036 55242538 68438124 72240242 74141301 76489668 82863807 98855068 108360363 110485076 144480484 148282602 165727614 216720726 222423903 248591421 296565204 325081089 331455228 433441452 444847806 469561573 497182842 650162178 889695612 939123146 994365684 1300324356 1408684719 1878246292 2817369438 4226054157 5634738876 8452108314 16904216628