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27397393920 = 2932513234197
BaseRepresentation
bin11001100001000000…
…110000111000000000
32121201101000211000100
4121201000300320000
5422102213101140
620330341122400
71656635002011
oct314100607000
977641024010
1027397393920
111068a129616
1253873b9400
13277811bbc0
14147c929008
15aa53d1530
hex661030e00

27397393920 has 960 divisors, whose sum is σ = 110353186944. Its totient is φ = 6228541440.

The previous prime is 27397393913. The next prime is 27397393927. The reversal of 27397393920 is 2939379372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27397393913) and next prime (27397393927).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27397393927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282447312 + ... + 282447408.

Almost surely, 227397393920 is an apocalyptic number.

27397393920 is a gapful number since it is divisible by the number (20) 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 27397393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176593472).

27397393920 is an abundant number, since it is smaller than the sum of its proper divisors (82955793024).

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

27397393920 is a wasteful number, since it uses less digits than its factorization.

27397393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 27397393920 in words is "twenty-seven billion, three hundred ninety-seven million, three hundred ninety-three thousand, nine hundred twenty".