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10093008480 = 253527497649
BaseRepresentation
bin10010110011001011…
…10001011001100000
3222001101202221202220
421121211301121200
5131132302232410
64345304111040
7505054104462
oct113145613140
928041687686
1010093008480
11430a270725
121b58165480
13c4b053889
146ba654132
153e1131070
hex259971660

10093008480 has 96 divisors (see below), whose sum is σ = 31808700000. Its totient is φ = 2690138112.

The previous prime is 10093008473. The next prime is 10093008491. The reversal of 10093008480 is 8480039001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315696 + ... + 1323344.

It is an arithmetic number, because the mean of its divisors is an integer number (331340625).

Almost surely, 210093008480 is an apocalyptic number.

10093008480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10093008480 is an abundant number, since it is smaller than the sum of its proper divisors (21715691520).

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

10093008480 is a wasteful number, since it uses less digits than its factorization.

10093008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10093008480 in words is "ten billion, ninety-three million, eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2749 5498 7649 8247 10996 13745 15298 16494 21992 22947 27490 30596 32988 38245 41235 43984 45894 54980 61192 65976 76490 82470 87968 91788 109960 114735 122384 131952 152980 164940 183576 219920 229470 244768 263904 305960 329880 367152 439840 458940 611920 659760 734304 917880 1223840 1319520 1835760 3671520 21027101 42054202 63081303 84108404 105135505 126162606 168216808 210271010 252325212 315406515 336433616 420542020 504650424 630813030 672867232 841084040 1009300848 1261626060 1682168080 2018601696 2523252120 3364336160 5046504240 10093008480