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5146010640 = 243257147237
BaseRepresentation
bin1001100101011100…
…11110010000010000
3111021122010102111200
410302232132100100
541014334320030
62210344511200
7241344240321
oct46256362020
914248112450
105146010640
112200874a61
12bb747b500
13640191a14
1436b62c448
15201b98d60
hex132b9e410

5146010640 has 60 divisors (see below), whose sum is σ = 17282021484. Its totient is φ = 1372269312.

The previous prime is 5146010627. The next prime is 5146010651. The reversal of 5146010640 is 460106415.

5146010640 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 0 + 10 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3935805696 + 1210204944 = 62736^2 + 34788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3572899 + ... + 3574338.

Almost surely, 25146010640 is an apocalyptic number.

It is an amenable number.

5146010640 is an abundant number, since it is smaller than the sum of its proper divisors (12136010844).

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

5146010640 is a wasteful number, since it uses less digits than its factorization.

5146010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147256 (or 7147247 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5146010640 is about 71735.6998990043. The cubic root of 5146010640 is about 1726.4614810286.

The spelling of 5146010640 in words is "five billion, one hundred forty-six million, ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7147237 14294474 21441711 28588948 35736185 42883422 57177896 64325133 71472370 85766844 107208555 114355792 128650266 142944740 171533688 214417110 257300532 285889480 321625665 343067376 428834220 514601064 571778960 643251330 857668440 1029202128 1286502660 1715336880 2573005320 5146010640