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100466425625 = 544118121661
BaseRepresentation
bin101110110010001000…
…0111111111100011001
3100121022200022012220212
41131210100333330121
53121223401110000
6114053104100505
710154436345656
oct1354420777431
9317280265825
10100466425625
1139675750625
121757a004735
13962133a937
144c10d96c2d
15293016ec35
hex176443ff19

100466425625 has 40 divisors (see below), whose sum is σ = 129321360168. Its totient is φ = 77976000000.

The previous prime is 100466425613. The next prime is 100466425667. The reversal of 100466425625 is 526524664001.

It can be written as a sum of positive squares in 20 ways, for example, as 67635884761 + 32830540864 = 260069^2 + 181192^2 .

It is not a de Polignac number, because 100466425625 - 28 = 100466425369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4627295 + ... + 4648955.

Almost surely, 2100466425625 is an apocalyptic number.

It is an amenable number.

100466425625 is a deficient number, since it is larger than the sum of its proper divisors (28854934543).

100466425625 is an equidigital number, since it uses as much as digits as its factorization.

100466425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21903 (or 21888 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 100466425625 in words is "one hundred billion, four hundred sixty-six million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 181 205 625 905 1025 4525 5125 7421 21661 22625 25625 37105 108305 113125 185525 541525 888101 927625 2707625 3920641 4440505 4638125 13538125 19603205 22202525 98016025 111012625 160746281 490080125 555063125 803731405 2450400625 4018657025 20093285125 100466425625