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18914967552 = 21531319241
BaseRepresentation
bin10001100111011010…
…111000000000000000
31210211012211220112210
4101213122320000000
5302214212430202
612404525222120
71236505366665
oct214732700000
953735756483
1018914967552
118027008098
1237ba701940
131a259678c0
14cb6161a6c
1575a88ec6c
hex4676b8000

18914967552 has 384 divisors, whose sum is σ = 58726699920. Its totient is φ = 5379194880.

The previous prime is 18914967529. The next prime is 18914967553. The reversal of 18914967552 is 25576941981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 18914967492 and 18914967501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18914967553) 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, 461340652 + ... + 461340692.

Almost surely, 218914967552 is an apocalyptic number.

18914967552 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 18914967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363349960).

18914967552 is an abundant number, since it is smaller than the sum of its proper divisors (39811732368).

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

18914967552 is an equidigital number, since it uses as much as digits as its factorization.

18914967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The spelling of 18914967552 in words is "eighteen billion, nine hundred fourteen million, nine hundred sixty-seven thousand, five hundred fifty-two".