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45777105444 = 2237717675571
BaseRepresentation
bin101010101000100001…
…110011001000100100
311101011021200220022210
4222220201303020210
51222222414333234
633010230123420
73210253655550
oct525041631044
9141137626283
1045777105444
1118460a89954
128a567b0570
134416c09255
142303958860
1512cdc91be9
hexaa8873224

45777105444 has 48 divisors (see below), whose sum is σ = 123791625216. Its totient is φ = 12894957600.

The previous prime is 45777105383. The next prime is 45777105457. The reversal of 45777105444 is 44450177754.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45777105393 and 45777105402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831822 + ... + 3843749.

It is an arithmetic number, because the mean of its divisors is an integer number (2578992192).

Almost surely, 245777105444 is an apocalyptic number.

It is an amenable number.

45777105444 is an abundant number, since it is smaller than the sum of its proper divisors (78014519772).

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

45777105444 is a wasteful number, since it uses less digits than its factorization.

45777105444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675656 (or 7675654 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 48.

The spelling of 45777105444 in words is "forty-five billion, seven hundred seventy-seven million, one hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 7675571 15351142 23026713 30702284 46053426 53728997 92106852 107457994 161186991 214915988 322373982 544965541 644747964 1089931082 1634896623 2179862164 3269793246 3814758787 6539586492 7629517574 11444276361 15259035148 22888552722 45777105444