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564855531372 = 2233112109139619
BaseRepresentation
bin10000011100001000000…
…00110110011101101100
31222222222202100001212000
420032010000312131230
533223311004000442
61111254022212300
755544434540236
oct10160400663554
91888882301760
10564855531372
111a8610249100
1291580b84090
134135b823542
141d4a68cd256
15ea5e7a1d4c
hex838403676c

564855531372 has 144 divisors (see below), whose sum is σ = 1611190089600. Its totient is φ = 171007135200.

The previous prime is 564855531293. The next prime is 564855531379. The reversal of 564855531372 is 273135558465.

564855531372 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 5 + 553 + 13 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (564855531379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14237379 + ... + 14276997.

Almost surely, 2564855531372 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 564855531372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805595044800).

564855531372 is an abundant number, since it is smaller than the sum of its proper divisors (1046334558228).

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

564855531372 is a wasteful number, since it uses less digits than its factorization.

564855531372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745 (or 40726 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 564855531372 in words is "five hundred sixty-four billion, eight hundred fifty-five million, five hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1091 1188 1452 2178 2182 3267 3273 4356 4364 6534 6546 9819 12001 13068 13092 19638 24002 29457 36003 39276 39619 48004 58914 72006 79238 108009 117828 118857 132011 144012 158476 216018 237714 264022 324027 356571 396033 432036 435809 475428 528044 648054 713142 792066 871618 1069713 1188099 1296108 1307427 1426284 1584132 1743236 2139426 2376198 2614854 3564297 3922281 4278852 4752396 4793899 5229708 7128594 7844562 9587798 11766843 14257188 14381697 15689124 19175596 23533686 28763394 43145091 43224329 47067372 57526788 86290182 86448658 129435273 129672987 172580364 172897316 258870546 259345974 389018961 475467619 517741092 518691948 778037922 950935238 1167056883 1426402857 1556075844 1901870476 2334113766 2852805714 4279208571 4668227532 5230143809 5705611428 8558417142 10460287618 12837625713 15690431427 17116834284 20920575236 25675251426 31380862854 47071294281 51350502852 62761725708 94142588562 141213882843 188285177124 282427765686 564855531372