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2663441172 = 2232713180681
BaseRepresentation
bin1001111011000000…
…1110001100010100
320212121201211102100
42132300032030110
520423320104142
61120142442100
7123000606420
oct23660161424
96777654370
102663441172
111147496857
12623b93330
13335a562c2
141b3a37b80
15108c62b4c
hex9ec0e314

2663441172 has 72 divisors (see below), whose sum is σ = 7753217472. Its totient is φ = 755164800.

The previous prime is 2663441161. The next prime is 2663441173. The reversal of 2663441172 is 2711443662.

2663441172 is a `hidden beast` number, since 2 + 6 + 634 + 4 + 1 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663441173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7329 + ... + 73352.

It is an arithmetic number, because the mean of its divisors is an integer number (107683576).

Almost surely, 22663441172 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 2663441172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876608736).

2663441172 is an abundant number, since it is smaller than the sum of its proper divisors (5089776300).

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

2663441172 is a wasteful number, since it uses less digits than its factorization.

2663441172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80829 (or 80824 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2663441172 is about 51608.5377820376. The cubic root of 2663441172 is about 1386.1632148514.

The spelling of 2663441172 in words is "two billion, six hundred sixty-three million, four hundred forty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 16506 33012 80681 161362 242043 322724 484086 564767 726129 968172 1129534 1452258 1694301 2259068 2904516 3388602 5082903 6777204 10165806 10569211 20331612 21138422 31707633 42276844 63415266 73984477 95122899 126830532 147968954 190245798 221953431 295937908 380491596 443906862 665860293 887813724 1331720586 2663441172