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10055741760 = 26345387953
BaseRepresentation
bin10010101110101111…
…00111000101000000
3221221210122121110000
421113113213011000
5131043232214020
64341453240000
7504122252241
oct112727470500
927853577400
1010055741760
1142a0227689
121b47793000
13c4340616c
146b5712cc8
153dcc1e090
hex2575e7140

10055741760 has 140 divisors (see below), whose sum is σ = 35770134708. Its totient is φ = 2681524224.

The previous prime is 10055741753. The next prime is 10055741771. The reversal of 10055741760 is 6714755001.

10055741760 is a `hidden beast` number, since 1 + 0 + 0 + 557 + 41 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2702336256 + 7353405504 = 51984^2 + 85752^2 .

It is a super-2 number, since 2×100557417602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168057 + ... + 219896.

Almost surely, 210055741760 is an apocalyptic number.

10055741760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055741760 is an abundant number, since it is smaller than the sum of its proper divisors (25714392948).

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

10055741760 is an equidigital number, since it uses as much as digits as its factorization.

10055741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387982 (or 387963 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10055741760 in words is "ten billion, fifty-five million, seven hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 387953 775906 1163859 1551812 1939765 2327718 3103624 3491577 3879530 4655436 5819295 6207248 6983154 7759060 9310872 10474731 11638590 12414496 13966308 15518120 17457885 18621744 20949462 23277180 24828992 27932616 31036240 31424193 34915770 37243488 41898924 46554360 52373655 55865232 62072480 62848386 69831540 74486976 83797848 93108720 104747310 111730464 124144960 125696772 139663080 157120965 167595696 186217440 209494620 223460928 251393544 279326160 314241930 335191392 372434880 418989240 502787088 558652320 628483860 670382784 837978480 1005574176 1117304640 1256967720 1675956960 2011148352 2513935440 3351913920 5027870880 10055741760