Search a number
-
+
319469656428 = 22321331139158419
BaseRepresentation
bin1001010011000011110…
…00000001100101101100
31010112121101112001101100
410221201320001211230
520213233213001203
6402432355243100
732036520163146
oct4514170014554
91115541461340
10319469656428
1111353932434a
1251ab98a9490
1324183688c80
1411668c13c96
15849babaea3
hex4a61e0196c

319469656428 has 144 divisors (see below), whose sum is σ = 904185318400. Its totient is φ = 94442474880.

The previous prime is 319469656321. The next prime is 319469656447. The reversal of 319469656428 is 824656964913.

319469656428 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 69 + 6 + 564 + 2 + 8 = 666.

It is a super-2 number, since 2×3194696564282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1937403 + ... + 2095821.

Almost surely, 2319469656428 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 319469656428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452092659200).

319469656428 is an abundant number, since it is smaller than the sum of its proper divisors (584715661972).

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

319469656428 is a wasteful number, since it uses less digits than its factorization.

319469656428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158612 (or 158607 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 319469656428 in words is "three hundred nineteen billion, four hundred sixty-nine million, six hundred fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 139 156 186 234 278 279 372 403 417 468 556 558 806 834 1116 1209 1251 1612 1668 1807 2418 2502 3614 3627 4309 4836 5004 5421 7228 7254 8618 10842 12927 14508 16263 17236 21684 25854 32526 38781 51708 56017 65052 77562 112034 155124 158419 168051 224068 316838 336102 475257 504153 633676 672204 950514 1008306 1425771 1901028 2016612 2059447 2851542 4118894 4910989 5703084 6178341 8237788 9821978 12356682 14732967 18535023 19643956 22020241 24713364 29465934 37070046 44040482 44198901 58931868 63842857 66060723 74140092 88080964 88397802 127685714 132121446 176795604 191528571 198182169 255371428 264242892 286263133 383057142 396364338 572526266 574585713 682627471 766114284 792728676 858789399 1145052532 1149171426 1365254942 1717578798 2047882413 2298342852 2576368197 2730509884 3435157596 4095764826 5152736394 6143647239 8191529652 8874157123 10305472788 12287294478 17748314246 24574588956 26622471369 35496628492 53244942738 79867414107 106489885476 159734828214 319469656428