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10056010560 = 263510475011
BaseRepresentation
bin10010101110110001…
…01000101101000000
3221221211011021011120
421113120220231000
5131043314314220
64341503112240
7504124452021
oct112730505500
927854137146
1010056010560
1142a03a0632
121b478a2680
13c4349b60b
146b5782c48
153dcc73a40
hex257628b40

10056010560 has 56 divisors (see below), whose sum is σ = 31927836576. Its totient is φ = 2681602560.

The previous prime is 10056010543. The next prime is 10056010571. The reversal of 10056010560 is 6501065001.

It is a super-2 number, since 2×100560105602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10056010560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5236546 + ... + 5238465.

Almost surely, 210056010560 is an apocalyptic number.

10056010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056010560 is an abundant number, since it is smaller than the sum of its proper divisors (21871826016).

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

10056010560 is a wasteful number, since it uses less digits than its factorization.

10056010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475031 (or 10475021 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10056010560 its reverse (6501065001), we get a palindrome (16557075561).

The spelling of 10056010560 in words is "ten billion, fifty-six million, ten thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10475011 20950022 31425033 41900044 52375055 62850066 83800088 104750110 125700132 157125165 167600176 209500220 251400264 314250330 335200352 419000440 502800528 628500660 670400704 838000880 1005601056 1257001320 1676001760 2011202112 2514002640 3352003520 5028005280 10056010560