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10055671700 = 22521729203969
BaseRepresentation
bin10010101110101110…
…10101111110010100
3221221210112001100012
421113113111332110
5131043222443300
64341451535352
7504121541054
oct112727257624
927853461305
1010055671700
1142a0189a88
121b4775a558
13c433b02c9
146b56d5564
153dcc08435
hex2575d5f94

10055671700 has 72 divisors (see below), whose sum is σ = 23901204600. Its totient is φ = 3655106560.

The previous prime is 10055671679. The next prime is 10055671727. The reversal of 10055671700 is 717655001.

It can be written as a sum of positive squares in 12 ways, for example, as 1554094084 + 8501577616 = 39422^2 + 92204^2 .

It is a super-2 number, since 2×100556717002 (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 23 ways as a sum of consecutive naturals, for example, 52685 + ... + 151284.

It is an arithmetic number, because the mean of its divisors is an integer number (331961175).

Almost surely, 210055671700 is an apocalyptic number.

10055671700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055671700 is an abundant number, since it is smaller than the sum of its proper divisors (13845532900).

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

10055671700 is a wasteful number, since it uses less digits than its factorization.

10055671700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204029 (or 204022 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 32.

The spelling of 10055671700 in words is "ten billion, fifty-five million, six hundred seventy-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 203969 407938 815876 1019845 2039690 3467473 4079380 5099225 5915101 6934946 10198450 11830202 13869892 17337365 20396900 23660404 29575505 34674730 59151010 69349460 86686825 100556717 118302020 147877525 173373650 201113434 295755050 346747300 402226868 502783585 591510100 1005567170 2011134340 2513917925 5027835850 10055671700