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2475130304 = 261911318013
BaseRepresentation
bin1001001110000111…
…0111110111000000
320101111101122110202
42103201313313000
520032113132204
61045334344332
7115223155223
oct22341676700
96344348422
102475130304
111060168039
12590abb0a8
13305a3265a
14196a195ba
15e7466e1e
hex93877dc0

2475130304 has 56 divisors (see below), whose sum is σ = 5216133840. Its totient is φ = 1161990144.

The previous prime is 2475130291. The next prime is 2475130321. The reversal of 2475130304 is 4030315742.

It is a happy number.

2475130304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24751303042 = 12252540043558264832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128402 + ... + 146414.

Almost surely, 22475130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2475130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608066920).

2475130304 is an abundant number, since it is smaller than the sum of its proper divisors (2741003536).

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

2475130304 is a wasteful number, since it uses less digits than its factorization.

2475130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 2475130304 is about 49750.6814425692. The cubic root of 2475130304 is about 1352.6933525674.

It can be divided in two parts, 24751 and 30304, that added together give a palindrome (55055).

The spelling of 2475130304 in words is "two billion, four hundred seventy-five million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 152 226 304 452 608 904 1216 1808 2147 3616 4294 7232 8588 17176 18013 34352 36026 68704 72052 137408 144104 288208 342247 576416 684494 1152832 1368988 2035469 2737976 4070938 5475952 8141876 10951904 16283752 21903808 32567504 38673911 65135008 77347822 130270016 154695644 309391288 618782576 1237565152 2475130304