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428964953832 = 233223328190997
BaseRepresentation
bin1100011111000000100…
…11011011111011101000
31112000020022020110221200
412033200103123323220
524012010012010312
6525021435404200
742664102642362
oct6174023337350
91460208213850
10428964953832
11155a17595978
126b1775b3660
13315b344548c
1416a94d79d32
15b25971c0dc
hex63e04dbee8

428964953832 has 96 divisors (see below), whose sum is σ = 1170931324680. Its totient is φ = 141866403840.

The previous prime is 428964953821. The next prime is 428964953881. The reversal of 428964953832 is 238359469824.

It is a happy number.

428964953832 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 64 + 9 + 538 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222072792516 + 206892161316 = 471246^2 + 454854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 428964953832.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4668558 + ... + 4759554.

Almost surely, 2428964953832 is an apocalyptic number.

It is an amenable number.

428964953832 is an abundant number, since it is smaller than the sum of its proper divisors (741966370848).

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

428964953832 is a wasteful number, since it uses less digits than its factorization.

428964953832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91523 (or 91516 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 428964953832 in words is "four hundred twenty-eight billion, nine hundred sixty-four million, nine hundred fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 281 466 562 699 843 932 1124 1398 1686 1864 2097 2248 2529 2796 3372 4194 5058 5592 6744 8388 10116 16776 20232 65473 90997 130946 181994 196419 261892 272991 363988 392838 523784 545982 589257 727976 785676 818973 1091964 1178514 1571352 1637946 2183928 2357028 3275892 4714056 6551784 21202301 25570157 42404602 51140314 63606903 76710471 84809204 102280628 127213806 153420942 169618408 190820709 204561256 230131413 254427612 306841884 381641418 460262826 508855224 613683768 763282836 920525652 1526565672 1841051304 5957846581 11915693162 17873539743 23831386324 35747079486 47662772648 53620619229 71494158972 107241238458 142988317944 214482476916 428964953832