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18999226656 = 2532173880561
BaseRepresentation
bin10001101100011100…
…010011000100100000
31211001002101201022100
4101230130103010200
5302402300223111
612421135210400
71241550522234
oct215434230440
954032351270
1018999226656
11806a628213
123822976a00
131a3a259767
14cc34165c4
15762e85756
hex46c713120

18999226656 has 72 divisors (see below), whose sum is σ = 57207245004. Its totient is φ = 5960540160.

The previous prime is 18999226621. The next prime is 18999226679. The reversal of 18999226656 is 65662299981.

It can be written as a sum of positive squares in 2 ways, for example, as 14472090000 + 4527136656 = 120300^2 + 67284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×189992266562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18999226593 and 18999226602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1935385 + ... + 1945176.

Almost surely, 218999226656 is an apocalyptic number.

18999226656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18999226656 is an abundant number, since it is smaller than the sum of its proper divisors (38208018348).

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

18999226656 is a wasteful number, since it uses less digits than its factorization.

18999226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880594 (or 3880583 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 18999226656 in words is "eighteen billion, nine hundred ninety-nine million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 3880561 7761122 11641683 15522244 23283366 31044488 34925049 46566732 62088976 65969537 69850098 93133464 124177952 131939074 139700196 186266928 197908611 263878148 279400392 372533856 395817222 527756296 558800784 593725833 791634444 1055512592 1117601568 1187451666 1583268888 2111025184 2374903332 3166537776 4749806664 6333075552 9499613328 18999226656