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10056005500 = 2253731372011
BaseRepresentation
bin10010101110110001…
…00111011101111100
3221221211011000020011
421113120213131330
5131043314134000
64341503033004
7504124431202
oct112730473574
927854130204
1010056005500
1142a0397852
121b4789b764
13c43499218
146b5781072
153dcc722ba
hex25762777c

10056005500 has 96 divisors (see below), whose sum is σ = 22436826048. Its totient is φ = 3936384000.

The previous prime is 10056005497. The next prime is 10056005527. The reversal of 10056005500 is 550065001.

It is a super-2 number, since 2×100560055002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999495 + ... + 5001505.

It is an arithmetic number, because the mean of its divisors is an integer number (233716938).

Almost surely, 210056005500 is an apocalyptic number.

10056005500 is a gapful number since it is divisible by the number (10) 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 10056005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218413024).

10056005500 is an abundant number, since it is smaller than the sum of its proper divisors (12380820548).

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

10056005500 is a wasteful number, since it uses less digits than its factorization.

10056005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 10056005500 in words is "ten billion, fifty-six million, five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 137 146 250 274 292 365 500 548 685 730 1370 1460 1825 2011 2740 3425 3650 4022 6850 7300 8044 9125 10001 10055 13700 17125 18250 20002 20110 34250 36500 40004 40220 50005 50275 68500 100010 100550 146803 200020 201100 250025 251375 275507 293606 500050 502750 551014 587212 734015 1000100 1005500 1102028 1250125 1377535 1468030 2500250 2755070 2936060 3670075 5000500 5510140 6887675 7340150 13775350 14680300 18350375 20112011 27550700 34438375 36700750 40224022 68876750 73401500 80448044 100560055 137753500 201120110 402240220 502800275 1005600550 2011201100 2514001375 5028002750 10056005500