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4654130656 = 257297110091
BaseRepresentation
bin1000101010110100…
…00110010111100000
3110000100120100000111
410111122012113200
534012424140111
62045454101104
7223222313020
oct42532062740
913010510014
104654130656
111a7915427a
12a9a7aa794
135922c0886
1432218ba80
151c38d6a21
hex1156865e0

4654130656 has 96 divisors (see below), whose sum is σ = 10986554880. Its totient is φ = 1898534400.

The previous prime is 4654130653. The next prime is 4654130659. The reversal of 4654130656 is 6560314564.

It is an interprime number because it is at equal distance from previous prime (4654130653) and next prime (4654130659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4654130653) 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, 456171 + ... + 466261.

It is an arithmetic number, because the mean of its divisors is an integer number (114443280).

Almost surely, 24654130656 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 4654130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493277440).

4654130656 is an abundant number, since it is smaller than the sum of its proper divisors (6332424224).

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

4654130656 is a wasteful number, since it uses less digits than its factorization.

4654130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 4654130656 is about 68221.1892010100. The cubic root of 4654130656 is about 1669.6016184322.

The spelling of 4654130656 in words is "four billion, six hundred fifty-four million, one hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 71 112 116 142 203 224 232 284 406 464 497 568 812 928 994 1136 1624 1988 2059 2272 3248 3976 4118 6496 7952 8236 10091 14413 15904 16472 20182 28826 32944 40364 57652 65888 70637 80728 115304 141274 161456 230608 282548 292639 322912 461216 565096 585278 716461 1130192 1170556 1432922 2048473 2260384 2341112 2865844 4096946 4682224 5015227 5731688 8193892 9364448 10030454 11463376 16387784 20060908 20777369 22926752 32775568 40121816 41554738 65551136 80243632 83109476 145441583 160487264 166218952 290883166 332437904 581766332 664875808 1163532664 2327065328 4654130656