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27074763136 = 273161111857
BaseRepresentation
bin11001001101110010…
…000001100110000000
32120212212221110210001
4121031302001212000
5420422114410021
620234334045344
71645636455331
oct311562014600
976785843701
1027074763136
1110533aa8303
1252b7349854
132726329405
14144bb44288
15a86e02091
hex64dc81980

27074763136 has 64 divisors (see below), whose sum is σ = 56591199360. Its totient is φ = 12885811200.

The previous prime is 27074763101. The next prime is 27074763151. The reversal of 27074763136 is 63136747072.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186120 + ... + 297976.

It is an arithmetic number, because the mean of its divisors is an integer number (884237490).

Almost surely, 227074763136 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 27074763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28295599680).

27074763136 is an abundant number, since it is smaller than the sum of its proper divisors (29516436224).

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

27074763136 is a wasteful number, since it uses less digits than its factorization.

27074763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111963 (or 111951 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 27074763136 in words is "twenty-seven billion, seventy-four million, seven hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 61 62 64 122 124 128 244 248 488 496 976 992 1891 1952 1984 3782 3904 3968 7564 7808 15128 30256 60512 111857 121024 223714 242048 447428 894856 1789712 3467567 3579424 6823277 6935134 7158848 13646554 13870268 14317696 27293108 27740536 54586216 55481072 109172432 110962144 211521587 218344864 221924288 423043174 436689728 443848576 846086348 873379456 1692172696 3384345392 6768690784 13537381568 27074763136