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18941469625 = 5313291133557
BaseRepresentation
bin10001101000111111…
…111110001110111001
31210220001201100120001
4101220333332032321
5302243004012000
612411313233001
71240246556341
oct215077761671
953801640501
1018941469625
11803aa69531
123807562761
131a2b2b66c0
14cb989dd21
1575cd7746a
hex468ffe3b9

18941469625 has 64 divisors (see below), whose sum is σ = 26575698240. Its totient is φ = 13381939200.

The previous prime is 18941469529. The next prime is 18941469637. The reversal of 18941469625 is 52696414981.

It can be written as a sum of positive squares in 32 ways, for example, as 13879431721 + 5062037904 = 117811^2 + 71148^2 .

It is not a de Polignac number, because 18941469625 - 219 = 18940945337 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5323347 + ... + 5326903.

It is an arithmetic number, because the mean of its divisors is an integer number (415245285).

Almost surely, 218941469625 is an apocalyptic number.

It is an amenable number.

18941469625 is a deficient number, since it is larger than the sum of its proper divisors (7634228615).

18941469625 is a wasteful number, since it uses less digits than its factorization.

18941469625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3717 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

It can be divided in two parts, 18941 and 469625, that added together give a triangular number (488566 = T988).

The spelling of 18941469625 in words is "eighteen billion, nine hundred forty-one million, four hundred sixty-nine thousand, six hundred twenty-five".

Divisors: 1 5 13 25 29 65 113 125 145 325 377 565 725 1469 1625 1885 2825 3277 3557 3625 7345 9425 14125 16385 17785 36725 42601 46241 47125 81925 88925 103153 183625 213005 231205 401941 409625 444625 515765 1065025 1156025 1340989 2009705 2578825 5225233 5325125 5780125 6704945 10048525 11656289 12894125 26126165 33524725 50242625 58281445 130630825 151531757 167623625 291407225 653154125 757658785 1457036125 3788293925 18941469625