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10055065088 = 29195917519
BaseRepresentation
bin10010101110101010…
…00001111000000000
3221221202101020020002
421113111001320000
5131043044040323
64341430535132
7504113433365
oct112725017000
927852336202
1010055065088
11429a905252
121b475074a8
13c4322a173
146b55b846c
153dcb38828
hex257541e00

10055065088 has 80 divisors (see below), whose sum is σ = 21507552000. Its totient is φ = 4681930752.

The previous prime is 10055065087. The next prime is 10055065117. The reversal of 10055065088 is 88056055001.

It is a super-2 number, since 2×100550650882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055065087) by changing a digit.

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, 565193 + ... + 582711.

It is an arithmetic number, because the mean of its divisors is an integer number (268844400).

Almost surely, 210055065088 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 10055065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753776000).

10055065088 is an abundant number, since it is smaller than the sum of its proper divisors (11452486912).

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

10055065088 is an equidigital number, since it uses as much as digits as its factorization.

10055065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17615 (or 17599 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 10055065088 in words is "ten billion, fifty-five million, sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 512 608 944 1121 1216 1888 2242 2432 3776 4484 4864 7552 8968 9728 15104 17519 17936 30208 35038 35872 70076 71744 140152 143488 280304 286976 332861 560608 573952 665722 1033621 1121216 1331444 2067242 2242432 2662888 4134484 4484864 5325776 8268968 8969728 10651552 16537936 19638799 21303104 33075872 39277598 42606208 66151744 78555196 85212416 132303488 157110392 170424832 264606976 314220784 529213952 628441568 1256883136 2513766272 5027532544 10055065088