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10008333324 = 22331171911717
BaseRepresentation
bin10010101001000101…
…10000110000001100
3221211111110000022000
421110202300300030
5130444113131244
64333041152300
7503005300233
oct112442606014
927744400260
1010008333324
114276496a60
121b3392b690
13c36647532
146ad2d1b1a
153d89a7169
hex2548b0c0c

10008333324 has 96 divisors (see below), whose sum is σ = 28348185600. Its totient is φ = 3028351680.

The previous prime is 10008333319. The next prime is 10008333337. The reversal of 10008333324 is 42333380001.

10008333324 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 333 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 848314 + ... + 860030.

It is an arithmetic number, because the mean of its divisors is an integer number (295293600).

Almost surely, 210008333324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008333324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174092800).

10008333324 is an abundant number, since it is smaller than the sum of its proper divisors (18339852276).

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

10008333324 is a wasteful number, since it uses less digits than its factorization.

10008333324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10008333324 in words is "ten billion, eight million, three hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 719 1188 1438 2157 2876 4314 6471 7909 8628 11717 12942 15818 19413 23434 23727 25884 31636 35151 38826 46868 47454 70302 71181 77652 94908 105453 128887 140604 142362 210906 213543 257774 284724 316359 386661 421812 427086 515548 632718 773322 854172 1159983 1265436 1546644 2319966 3479949 4639932 6959898 8424523 13919796 16849046 25273569 33698092 50547138 75820707 92669753 101094276 151641414 185339506 227462121 278009259 303282828 370679012 454924242 556018518 834027777 909848484 1112037036 1668055554 2502083331 3336111108 5004166662 10008333324