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10163479040 = 295111327763
BaseRepresentation
bin10010111011100101…
…00110001000000000
3222020022101020012122
421131302212020000
5131303322312130
64400302343412
7506601101141
oct113562461000
928208336178
1010163479040
114346023260
121b7788ab68
13c5c828630
146c5b59ac8
153e74012e5
hex25dca6200

10163479040 has 160 divisors (see below), whose sum is σ = 28629792576. Its totient is φ = 3411394560.

The previous prime is 10163479037. The next prime is 10163479049. The reversal of 10163479040 is 4097436101.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10163479049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352199 + ... + 379961.

Almost surely, 210163479040 is an apocalyptic number.

10163479040 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 10163479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314896288).

10163479040 is an abundant number, since it is smaller than the sum of its proper divisors (18466313536).

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

10163479040 is a wasteful number, since it uses less digits than its factorization.

10163479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27794 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 10163479040 in words is "ten billion, one hundred sixty-three million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 512 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2560 2816 2860 3328 3520 4160 4576 5632 5720 6656 7040 8320 9152 11440 14080 16640 18304 22880 27763 28160 33280 36608 45760 55526 73216 91520 111052 138815 183040 222104 277630 305393 360919 366080 444208 555260 610786 721838 888416 1110520 1221572 1443676 1526965 1776832 1804595 2221040 2443144 2887352 3053930 3553664 3609190 3970109 4442080 4886288 5774704 6107860 7107328 7218380 7940218 8884160 9772576 11549408 12215720 14214656 14436760 15880436 17768320 19545152 19850545 23098816 24431440 28873520 31760872 35536640 39090304 39701090 46197632 48862880 57747040 63521744 71073280 78180608 79402180 92395264 97725760 115494080 127043488 156361216 158804360 184790528 195451520 230988160 254086976 317608720 390903040 461976320 508173952 635217440 781806080 923952640 1016347904 1270434880 2032695808 2540869760 5081739520 10163479040