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11874025024 = 265322572
BaseRepresentation
bin10110000111011111…
…10011111001000000
31010122112001222011121
423003233303321000
5143304222300044
65242125322024
7600151355521
oct130357637100
933575058147
1011874025024
115043639824
122374706314
131173028114
14808dc8848
15497689984
hex2c3bf3e40

11874025024 has 63 divisors (see below), whose sum is σ = 24109291507. Its totient is φ = 5802328064.

The previous prime is 11874025001. The next prime is 11874025049. The reversal of 11874025024 is 42052047811.

The square root of 11874025024 is 108968.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7162575424 + 4711449600 = 84632^2 + 68640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46202304 + ... + 46202560.

Almost surely, 211874025024 is an apocalyptic number.

11874025024 is the 108968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11874025024

11874025024 is an abundant number, since it is smaller than the sum of its proper divisors (12235266483).

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

11874025024 is an frugal number, since it uses more digits than its factorization.

11874025024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 11874025024 in words is "eleven billion, eight hundred seventy-four million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 257 424 514 848 1028 1696 2056 2809 3392 4112 5618 8224 11236 13621 16448 22472 27242 44944 54484 66049 89888 108968 132098 179776 217936 264196 435872 528392 721913 871744 1056784 1443826 2113568 2887652 3500597 4227136 5775304 7001194 11550608 14002388 23101216 28004776 46202432 56009552 112019104 185531641 224038208 371063282 742126564 1484253128 2968506256 5937012512 11874025024