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27420131232 = 25331317163881
BaseRepresentation
bin11001100010010111…
…011111111110100000
32121202221210222202000
4121202113133332200
5422124023144412
620332512324000
71660332161364
oct314227377640
977687728660
1027420131232
11106a0a4948a
125392b43600
13277ca50230
1414819672a4
15aa73c34dc
hex6625dffa0

27420131232 has 384 divisors, whose sum is σ = 91857265920. Its totient is φ = 7882997760.

The previous prime is 27420131231. The next prime is 27420131261. The reversal of 27420131232 is 23213102472.

27420131232 is a `hidden beast` number, since 2 + 7 + 420 + 1 + 3 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27420131196 and 27420131205.

It is not an unprimeable number, because it can be changed into a prime (27420131231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31123432 + ... + 31124312.

It is an arithmetic number, because the mean of its divisors is an integer number (239211630).

Almost surely, 227420131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27420131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45928632960).

27420131232 is an abundant number, since it is smaller than the sum of its proper divisors (64437134688).

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

27420131232 is a wasteful number, since it uses less digits than its factorization.

27420131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 27420131232 in words is "twenty-seven billion, four hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".