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449896939344 = 24328081386621
BaseRepresentation
bin1101000101111111111…
…00100111111101010000
31121000021002110111222100
412202333330213331100
524332342104024334
6542402500440400
744334602613246
oct6427774477520
91530232414870
10449896939344
11163889103456
12732396a9100
133356ac35418
1417abcd46796
15ba821d1c99
hex68bff27f50

449896939344 has 60 divisors (see below), whose sum is σ = 1259245638612. Its totient is φ = 149946700800.

The previous prime is 449896939309. The next prime is 449896939363. The reversal of 449896939344 is 443939698944.

449896939344 is a `hidden beast` number, since 4 + 498 + 9 + 6 + 9 + 3 + 93 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133166606400 + 316730332944 = 364920^2 + 562788^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970354 + ... + 1356974.

Almost surely, 2449896939344 is an apocalyptic number.

It is an amenable number.

449896939344 is an abundant number, since it is smaller than the sum of its proper divisors (809348699268).

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

449896939344 is a wasteful number, since it uses less digits than its factorization.

449896939344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394716 (or 394707 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 449896939344 in words is "four hundred forty-nine billion, eight hundred ninety-six million, nine hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8081 16162 24243 32324 48486 64648 72729 96972 129296 145458 193944 290916 386621 387888 581832 773242 1159863 1163664 1546484 2319726 3092968 3479589 4639452 6185936 6959178 9278904 13918356 18557808 27836712 55673424 3124284301 6248568602 9372852903 12497137204 18745705806 24994274408 28118558709 37491411612 49988548816 56237117418 74982823224 112474234836 149965646448 224948469672 449896939344