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42774447400 = 2352397538721
BaseRepresentation
bin100111110101100011…
…100100010100101000
311002102000200001211121
4213311203210110220
51200100224304100
631352244505024
73042663542506
oct476543442450
9132360601747
1042774447400
1117160073483
1283590ab174
134058b03c09
1420dac5d676
1511a537551a
hex9f58e4528

42774447400 has 48 divisors (see below), whose sum is σ = 99701280540. Its totient is φ = 17066649600.

The previous prime is 42774447341. The next prime is 42774447421. The reversal of 42774447400 is 474447724.

It can be written as a sum of positive squares in 6 ways, for example, as 21826516644 + 20947930756 = 147738^2 + 144734^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189961 + ... + 348760.

Almost surely, 242774447400 is an apocalyptic number.

42774447400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42774447400 is an abundant number, since it is smaller than the sum of its proper divisors (56926833140).

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

42774447400 is a wasteful number, since it uses less digits than its factorization.

42774447400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539134 (or 539125 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 43.

The spelling of 42774447400 in words is "forty-two billion, seven hundred seventy-four million, four hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 397 794 1588 1985 3176 3970 7940 9925 15880 19850 39700 79400 538721 1077442 2154884 2693605 4309768 5387210 10774420 13468025 21548840 26936050 53872100 107744200 213872237 427744474 855488948 1069361185 1710977896 2138722370 4277444740 5346805925 8554889480 10693611850 21387223700 42774447400