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10055860560 = 243354799053
BaseRepresentation
bin10010101110110000…
…00100000101010000
3221221210212122102000
421113120010011100
5131043300014220
64341455554000
7504123255504
oct112730040520
927853778360
1010055860560
1142a02a8969
121b4782b900
13c43448265
146b5744304
153dcc44390
hex257604150

10055860560 has 160 divisors (see below), whose sum is σ = 35374164480. Its totient is φ = 2624481792.

The previous prime is 10055860547. The next prime is 10055860571. The reversal of 10055860560 is 6506855001.

10055860560 is a `hidden beast` number, since 10 + 0 + 5 + 5 + 86 + 0 + 560 = 666.

It is a super-2 number, since 2×100558605602 (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 31 ways as a sum of consecutive naturals, for example, 51994 + ... + 151046.

It is an arithmetic number, because the mean of its divisors is an integer number (221088528).

Almost surely, 210055860560 is an apocalyptic number.

10055860560 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 10055860560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687082240).

10055860560 is an abundant number, since it is smaller than the sum of its proper divisors (25318303920).

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

10055860560 is a wasteful number, since it uses less digits than its factorization.

10055860560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99122 (or 99110 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10055860560 in words is "ten billion, fifty-five million, eight hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 33840 50760 99053 101520 198106 297159 396212 495265 594318 792424 891477 990530 1188636 1485795 1584848 1782954 1981060 2377272 2674431 2971590 3565908 3962120 4457385 4655491 4754544 5348862 5943180 7131816 7924240 8914770 9310982 10697724 11886360 13372155 13966473 14263632 17829540 18621964 21395448 23277455 23772720 26744310 27932946 35659080 37243928 41899419 42790896 46554910 53488620 55865892 69832365 71318160 74487856 83798838 93109820 106977240 111731784 125698257 139664730 167597676 186219640 209497095 213954480 223463568 251396514 279329460 335195352 372439280 418994190 502793028 558658920 628491285 670390704 837988380 1005586056 1117317840 1256982570 1675976760 2011172112 2513965140 3351953520 5027930280 10055860560