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486443221920 = 25325337807793
BaseRepresentation
bin1110001010000100100…
…01101000001110100000
31201111121001202000211200
413011002101220032200
530432213431100140
61011245142241200
750100342110115
oct7050221501640
91644531660750
10486443221920
11178332576477
127a338a26200
1336b436046b6
141978896290c
15c9c08a0030
hex71424683a0

486443221920 has 72 divisors (see below), whose sum is σ = 1659987499716. Its totient is φ = 129718192128.

The previous prime is 486443221909. The next prime is 486443221933. The reversal of 486443221920 is 29122344684.

It can be written as a sum of positive squares in 2 ways, for example, as 470996709264 + 15446512656 = 686292^2 + 124284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 168902457 + ... + 168905336.

Almost surely, 2486443221920 is an apocalyptic number.

486443221920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486443221920 is an abundant number, since it is smaller than the sum of its proper divisors (1173544277796).

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

486443221920 is a wasteful number, since it uses less digits than its factorization.

486443221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337807814 (or 337807803 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 486443221920 in words is "four hundred eighty-six billion, four hundred forty-three million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 337807793 675615586 1013423379 1351231172 1689038965 2026846758 2702462344 3040270137 3378077930 4053693516 5067116895 5404924688 6080540274 6756155860 8107387032 10134233790 10809849376 12161080548 13512311720 15201350685 16214774064 20268467580 24322161096 27024623440 30402701370 32429548128 40536935160 48644322192 54049246880 60805402740 81073870320 97288644384 121610805480 162147740640 243221610960 486443221920