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445494644234640 = 2434572111317577147
BaseRepresentation
bin110010101001011001100111…
…0000001001101100110010000
32011102100212112201200220020000
41211102303032001031212100
5431342441012411002030
64215253225250250000
7162556632404254500
oct14522631601154620
92142325481626200
10445494644234640
11119a48243715960
1241b6ba1ab86900
1316176c705744c0
147c020ad29da00
153678510dc1860
hex1952cce04d990

445494644234640 has 2400 divisors, whose sum is σ = 2238938436518784. Its totient is φ = 80422940344320.

The previous prime is 445494644234599. The next prime is 445494644234693. The reversal of 445494644234640 is 46432446494544.

It is a happy number.

445494644234640 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 94 + 64 + 4 + 23 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 771602547 + ... + 772179693.

Almost surely, 2445494644234640 is an apocalyptic number.

445494644234640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445494644234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119469218259392).

445494644234640 is an abundant number, since it is smaller than the sum of its proper divisors (1793443792284144).

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

445494644234640 is a wasteful number, since it uses less digits than its factorization.

445494644234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577227 (or 577205 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 63.

The spelling of 445494644234640 in words is "four hundred forty-five trillion, four hundred ninety-four billion, six hundred forty-four million, two hundred thirty-four thousand, six hundred forty".