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482143378944 = 2931731595627
BaseRepresentation
bin1110000010000011111…
…11000001111000000000
31201002111101211101011010
413001001333001320000
530344412201111234
61005254341520520
746555651046553
oct7010177017000
91632441741133
10482143378944
11176526405837
1279538a13140
133660983b806
141949b87a69a
15c81d14c6e9
hex7041fc1e00

482143378944 has 160 divisors (see below), whose sum is σ = 1403890430976. Its totient is φ = 146381045760.

The previous prime is 482143378907. The next prime is 482143378949. The reversal of 482143378944 is 449873341284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482143378949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511659 + ... + 1107285.

Almost surely, 2482143378944 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 482143378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701945215488).

482143378944 is an abundant number, since it is smaller than the sum of its proper divisors (921747052032).

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

482143378944 is a wasteful number, since it uses less digits than its factorization.

482143378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595696 (or 595680 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 482143378944 in words is "four hundred eighty-two billion, one hundred forty-three million, three hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 272 372 384 408 496 512 527 544 744 768 816 992 1054 1088 1488 1536 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 4352 5952 6324 6528 7936 8432 8704 11904 12648 13056 15872 16864 23808 25296 26112 33728 47616 50592 67456 101184 134912 202368 269824 404736 595627 809472 1191254 1786881 2382508 3573762 4765016 7147524 9530032 10125659 14295048 18464437 19060064 20251318 28590096 30376977 36928874 38120128 40502636 55393311 57180192 60753954 73857748 76240256 81005272 110786622 114360384 121507908 147715496 152480512 162010544 221573244 228720768 243015816 295430992 304961024 313895429 324021088 443146488 457441536 486031632 590861984 627790858 648042176 886292976 914883072 941686287 972063264 1181723968 1255581716 1296084352 1772585952 1883372574 1944126528 2363447936 2511163432 2592168704 3545171904 3766745148 3888253056 4726895872 5022326864 5184337408 7090343808 7533490296 7776506112 9453791744 10044653728 14180687616 15066980592 15553012224 20089307456 28361375232 30133961184 40178614912 60267922368 80357229824 120535844736 160714459648 241071689472 482143378944