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27121010176 = 291331131441
BaseRepresentation
bin11001010000100010…
…011100011000000000
32121000002222001210101
4121100202130120000
5421020434311201
620243105212144
71650040532341
oct312042343000
977002861711
1027121010176
11105581153a7
12530a931054
132732a9c520
141453d420c8
15a8aed9d01
hex65089c600

27121010176 has 80 divisors (see below), whose sum is σ = 60240394368. Its totient is φ = 12113510400.

The previous prime is 27121010167. The next prime is 27121010281. The reversal of 27121010176 is 67101012172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140616 + ... + 272056.

Almost surely, 227121010176 is an apocalyptic number.

27121010176 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 27121010176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30120197184).

27121010176 is an abundant number, since it is smaller than the sum of its proper divisors (33119384192).

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

27121010176 is a wasteful number, since it uses less digits than its factorization.

27121010176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131503 (or 131487 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The spelling of 27121010176 in words is "twenty-seven billion, one hundred twenty-one million, ten thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1612 1664 1984 3224 3328 3968 6448 6656 7936 12896 15872 25792 51584 103168 131441 206336 262882 525764 1051528 1708733 2103056 3417466 4074671 4206112 6834932 8149342 8412224 13669864 16298684 16824448 27339728 32597368 33648896 52970723 54679456 65194736 67297792 105941446 109358912 130389472 211882892 218717824 260778944 423765784 437435648 521557888 847531568 874871296 1043115776 1695063136 2086231552 3390126272 6780252544 13560505088 27121010176