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45318220344 = 23321051598877
BaseRepresentation
bin101010001101001011…
…010010101000111000
311022222022020010022100
4222031023102220320
51220302431022334
632452514423400
73163012342245
oct521513225070
9138868203270
1045318220344
1118245a54771
128948b91b60
134372b1b2c7
14229ca265cc
1512a384ac99
hexa8d2d2a38

45318220344 has 48 divisors (see below), whose sum is σ = 122853832920. Its totient is φ = 15091675200.

The previous prime is 45318220331. The next prime is 45318220349. The reversal of 45318220344 is 44302281354.

45318220344 is a `hidden beast` number, since 4 + 531 + 82 + 2 + 0 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45318220299 and 45318220308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45318220349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223767 + ... + 375110.

Almost surely, 245318220344 is an apocalyptic number.

It is an amenable number.

45318220344 is an abundant number, since it is smaller than the sum of its proper divisors (77535612576).

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

45318220344 is a wasteful number, since it uses less digits than its factorization.

45318220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599940 (or 599933 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45318220344 in words is "forty-five billion, three hundred eighteen million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1051 2102 3153 4204 6306 8408 9459 12612 18918 25224 37836 75672 598877 1197754 1796631 2395508 3593262 4791016 5389893 7186524 10779786 14373048 21559572 43119144 629419727 1258839454 1888259181 2517678908 3776518362 5035357816 5664777543 7553036724 11329555086 15106073448 22659110172 45318220344