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30315113856 = 2732173152111
BaseRepresentation
bin11100001110111010…
…111110110110000000
32220020201020100022200
4130032322332312000
5444041132120411
621532050033200
72122144134066
oct341672766600
986221210280
1030315113856
1111947100805
125a60578800
132b217552c1
141678234036
15bc6620e56
hex70eebed80

30315113856 has 96 divisors (see below), whose sum is σ = 87739722720. Its totient is φ = 10046561280.

The previous prime is 30315113849. The next prime is 30315113921. The reversal of 30315113856 is 65831151303.

30315113856 is a `hidden beast` number, since 30 + 31 + 511 + 3 + 85 + 6 = 666.

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

It is a super-2 number, since 2×303151138562 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30315113856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123241 + ... + 275351.

It is an arithmetic number, because the mean of its divisors is an integer number (913955445).

Almost surely, 230315113856 is an apocalyptic number.

30315113856 is a gapful number since it is divisible by the number (36) 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 30315113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43869861360).

30315113856 is an abundant number, since it is smaller than the sum of its proper divisors (57424608864).

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

30315113856 is a wasteful number, since it uses less digits than its factorization.

30315113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152304 (or 152289 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 30315113856 in words is "thirty billion, three hundred fifteen million, one hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 288 346 384 519 576 692 1038 1152 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 22144 24912 33216 49824 66432 99648 152111 199296 304222 456333 608444 912666 1216888 1368999 1825332 2433776 2737998 3650664 4867552 5475996 7301328 9735104 10951992 14602656 19470208 21903984 26315203 29205312 43807968 52630406 58410624 78945609 87615936 105260812 157891218 175231872 210521624 236836827 315782436 421043248 473673654 631564872 842086496 947347308 1263129744 1684172992 1894694616 2526259488 3368345984 3789389232 5052518976 7578778464 10105037952 15157556928 30315113856