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474109365136 = 24112156492
BaseRepresentation
bin1101110011000110001…
…11101100101110010000
31200022202111102012002011
412321203013230232100
530231433444141021
61001445225032304
746152605053021
oct6714307545620
91608674365064
10474109365136
11173083416300
1277a76325694
13359292497a4
1418d3887ac48
15c4ecb83de1
hex6e631ecb90

474109365136 has 45 divisors (see below), whose sum is σ = 1009750946673. Its totient is φ = 215490485760.

The previous prime is 474109365083. The next prime is 474109365137. The reversal of 474109365136 is 631563901474.

The square root of 474109365136 is 688556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79323342736 + 394786022400 = 281644^2 + 628320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 474109365136.

It is not an unprimeable number, because it can be changed into a prime (474109365137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30288640 + ... + 30304288.

Almost surely, 2474109365136 is an apocalyptic number.

474109365136 is the 688556-th square number.

It is an amenable number.

474109365136 is an abundant number, since it is smaller than the sum of its proper divisors (535641581537).

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

474109365136 is an frugal number, since it uses more digits than its factorization.

474109365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31328 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 474109365136 by its sum of digits (49), we get a square (23231358891664 = 48198922).

The spelling of 474109365136 in words is "four hundred seventy-four billion, one hundred nine million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 15649 31298 62596 125192 172139 250384 344278 688556 1377112 1893529 2754224 3787058 7574116 15148232 30296464 244891201 489782402 979564804 1959129608 2693803211 3918259216 5387606422 10775212844 21550425688 29631835321 43100851376 59263670642 118527341284 237054682568 474109365136