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428184898272 = 2534182390617
BaseRepresentation
bin1100011101100011100…
…11110000101011100000
31111221012221102112220000
412032301303300223200
524003410313221042
6524412212220000
742635551404045
oct6166163605340
91457187375800
10428184898272
1115565723765a
126ab9a30a600
13314ba956641
1416a1d5231cc
15b210ed474c
hex63b1cf0ae0

428184898272 has 120 divisors (see below), whose sum is σ = 1259984569536. Its totient is φ = 142648432128.

The previous prime is 428184898217. The next prime is 428184898283. The reversal of 428184898272 is 272898481824.

428184898272 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 8 + 489 + 82 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4679908 + ... + 4770524.

Almost surely, 2428184898272 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 428184898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629992284768).

428184898272 is an abundant number, since it is smaller than the sum of its proper divisors (831799671264).

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

428184898272 is a wasteful number, since it uses less digits than its factorization.

428184898272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92462 (or 92445 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 428184898272 in words is "four hundred twenty-eight billion, one hundred eighty-four million, eight hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1823 2592 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 49221 58336 65628 87504 90617 98442 131256 147663 175008 181234 196884 262512 271851 295326 362468 393768 525024 543702 590652 724936 787536 815553 1087404 1181304 1449872 1575072 1631106 2174808 2362608 2446659 2899744 3262212 4349616 4725216 4893318 6524424 7339977 8699232 9786636 13048848 14679954 19573272 26097696 29359908 39146544 58719816 78293088 117439632 165194791 234879264 330389582 495584373 660779164 991168746 1321558328 1486753119 1982337492 2643116656 2973506238 3964674984 4460259357 5286233312 5947012476 7929349968 8920518714 11894024952 13380778071 15858699936 17841037428 23788049904 26761556142 35682074856 47576099808 53523112284 71364149712 107046224568 142728299424 214092449136 428184898272