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18425981952 = 21033732967
BaseRepresentation
bin10001001010010001…
…100010110000000000
31202120010201212102000
4101022101202300000
5300214022410302
612244220424000
71221420156000
oct211221426000
952503655360
1018425981952
1178a5a93a64
1236a29a8000
13197856b001
14c6b236000
1572c9a031c
hex44a462c00

18425981952 has 704 divisors, whose sum is σ = 66814080000. Its totient is φ = 5007163392.

The previous prime is 18425981941. The next prime is 18425981963. The reversal of 18425981952 is 25918952481.

18425981952 is a `hidden beast` number, since 1 + 8 + 42 + 598 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (18425981941) and next prime (18425981963).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2073600) is a multiple of the sum of its prime divisors (108).

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, 275014623 + ... + 275014689.

Almost surely, 218425981952 is an apocalyptic number.

18425981952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18425981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33407040000).

18425981952 is an abundant number, since it is smaller than the sum of its proper divisors (48388098048).

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

18425981952 is an equidigital number, since it uses as much as digits as its factorization.

18425981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 18425981952 in words is "eighteen billion, four hundred twenty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".