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2409780672 = 263313107273
BaseRepresentation
bin1000111110100010…
…0101010111000000
320012221102112122000
42033220211113000
514413400440142
61035041544000
7113500540425
oct21750452700
96187375560
102409780672
111027292982
12573045000
132c5331730
1418c087d4c
15e185914c
hex8fa255c0

2409780672 has 112 divisors (see below), whose sum is σ = 7629326880. Its totient is φ = 741464064.

The previous prime is 2409780671. The next prime is 2409780721. The reversal of 2409780672 is 2760879042.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409780671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31173 + ... + 76100.

It is an arithmetic number, because the mean of its divisors is an integer number (68118990).

Almost surely, 22409780672 is an apocalyptic number.

It is an amenable number.

2409780672 is an abundant number, since it is smaller than the sum of its proper divisors (5219546208).

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

2409780672 is a wasteful number, since it uses less digits than its factorization.

2409780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107307 (or 107291 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2409780672 is about 49089.5169257144. The cubic root of 2409780672 is about 1340.6821862446.

The spelling of 2409780672 in words is "two billion, four hundred nine million, seven hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 107273 214546 321819 429092 643638 858184 965457 1287276 1394549 1716368 1930914 2574552 2789098 2896371 3432736 3861828 4183647 5149104 5578196 5792742 6865472 7723656 8367294 10298208 11156392 11585484 12550941 15447312 16734588 20596416 22312784 23170968 25101882 30894624 33469176 37652823 44625568 46341936 50203764 61789248 66938352 75305646 89251136 92683872 100407528 133876704 150611292 185367744 200815056 267753408 301222584 401630112 602445168 803260224 1204890336 2409780672