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27270674436096 = 2123271343971949
BaseRepresentation
bin1100011001101011100101…
…10111001101000000000000
310120120001101012010111210200
412030311302313031000000
512033300320123423341
6133555550324125200
75513145510025560
oct614656267150000
9116501335114720
1027270674436096
118764478857453
1230852a5836800
13122a7c9004490
146a3c9c98cda0
1532458d43cdb6
hex18cd72dcd000

27270674436096 has 1248 divisors, whose sum is σ = 100279385606400. Its totient is φ = 6949013815296.

The previous prime is 27270674436091. The next prime is 27270674436133. The reversal of 27270674436096 is 69063447607272.

27270674436096 is a `hidden beast` number, since 2 + 7 + 2 + 70 + 67 + 443 + 60 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27270674436091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13992135730 + ... + 13992137678.

It is an arithmetic number, because the mean of its divisors is an integer number (80352071800).

Almost surely, 227270674436096 is an apocalyptic number.

27270674436096 is a gapful number since it is divisible by the number (26) 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 27270674436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139692803200).

27270674436096 is an abundant number, since it is smaller than the sum of its proper divisors (73008711170304).

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

27270674436096 is a wasteful number, since it uses less digits than its factorization.

27270674436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 27270674436096 in words is "twenty-seven trillion, two hundred seventy billion, six hundred seventy-four million, four hundred thirty-six thousand, ninety-six".