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45414434624 = 2613371475261
BaseRepresentation
bin101010010010111010…
…010100011101000000
311100020000021022111012
4222102322110131000
51221002043401444
632510232540052
73165261216326
oct522272243500
9140200238435
1045414434624
111829529a9a9
128975251628
134389a37930
1422ab70dd16
1512ac003b9e
hexa92e94740

45414434624 has 56 divisors (see below), whose sum is σ = 99674601768. Its totient is φ = 20393994240.

The previous prime is 45414434599. The next prime is 45414434633. The reversal of 45414434624 is 42643441454.

It can be written as a sum of positive squares in 4 ways, for example, as 1327873600 + 44086561024 = 36440^2 + 209968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706847 + ... + 768414.

It is an arithmetic number, because the mean of its divisors is an integer number (1779903603).

Almost surely, 245414434624 is an apocalyptic number.

It is an amenable number.

45414434624 is an abundant number, since it is smaller than the sum of its proper divisors (54260167144).

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

45414434624 is a wasteful number, since it uses less digits than its factorization.

45414434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475323 (or 1475313 counting only the distinct ones).

The product of its digits is 737280, while the sum is 41.

The spelling of 45414434624 in words is "forty-five billion, four hundred fourteen million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 7696 15392 30784 1475261 2950522 5901044 11802088 19178393 23604176 38356786 47208352 54584657 76713572 94416704 109169314 153427144 218338628 306854288 436677256 613708576 709600541 873354512 1227417152 1419201082 1746709024 2838402164 3493418048 5676804328 11353608656 22707217312 45414434624