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10056542912 = 261360719913
BaseRepresentation
bin10010101110110101…
…01010101011000000
3221221212011022102022
421113122222223000
5131043433333122
64341522341012
7504132130043
oct112732525300
927855138368
1010056542912
1142a0724599
121b47aba768
13c43626a10
146b5880c5a
153dcd2b642
hex2576aaac0

10056542912 has 56 divisors (see below), whose sum is σ = 21527511936. Its totient is φ = 4633602048.

The previous prime is 10056542911. The next prime is 10056542957. The reversal of 10056542912 is 21924565001.

It is a happy number.

It is a super-2 number, since 2×100565429122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056542911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495068 + ... + 514980.

It is an arithmetic number, because the mean of its divisors is an integer number (384419856).

Almost surely, 210056542912 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 10056542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763755968).

10056542912 is an abundant number, since it is smaller than the sum of its proper divisors (11470969024).

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

10056542912 is a wasteful number, since it uses less digits than its factorization.

10056542912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20545 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 10056542912 in words is "ten billion, fifty-six million, five hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 607 832 1214 2428 4856 7891 9712 15782 19424 19913 31564 38848 39826 63128 79652 126256 159304 252512 258869 318608 505024 517738 637216 1035476 1274432 2070952 4141904 8283808 12087191 16567616 24174382 48348764 96697528 157133483 193395056 314266966 386790112 628533932 773580224 1257067864 2514135728 5028271456 10056542912