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10725108480 = 28335310333
BaseRepresentation
bin10011111110100010…
…00010101100000000
31000200110011221222000
421333101002230000
5133431111432410
64532124144000
7526530626562
oct117721025400
930613157860
1010725108480
114604053819
1220b3998000
13101bcab248
1473a595332
1542b88edc0
hex27f442b00

10725108480 has 144 divisors (see below), whose sum is σ = 38059361760. Its totient is φ = 2860019712.

The previous prime is 10725108479. The next prime is 10725108487. The reversal of 10725108480 is 8480152701.

10725108480 is a `hidden beast` number, since 1 + 0 + 72 + 5 + 108 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (10725108487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120607 + ... + 189726.

Almost surely, 210725108480 is an apocalyptic number.

10725108480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10725108480 is an abundant number, since it is smaller than the sum of its proper divisors (27334253280).

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

10725108480 is an equidigital number, since it uses as much as digits as its factorization.

10725108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310363 (or 310343 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10725108480 in words is "ten billion, seven hundred twenty-five million, one hundred eight thousand, four hundred eighty".

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 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 310333 620666 930999 1241332 1551665 1861998 2482664 2792997 3103330 3723996 4654995 4965328 5585994 6206660 7447992 8378991 9309990 9930656 11171988 12413320 13964985 14895984 16757982 18619980 19861312 22343976 24826640 27929970 29791968 33515964 37239960 39722624 41894955 44687952 49653280 55859940 59583936 67031928 74479920 79445248 83789910 89375904 99306560 111719880 119167872 134063856 148959840 167579820 178751808 198613120 223439760 238335744 268127712 297919680 335159640 357503616 397226240 446879520 536255424 595839360 670319280 715007232 893759040 1072510848 1191678720 1340638560 1787518080 2145021696 2681277120 3575036160 5362554240 10725108480