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18302057352 = 2333234797691
BaseRepresentation
bin10001000010111000…
…110011101110001000
31202020111112211211000
4101002320303232020
5244440311313402
612224032335000
71215353630535
oct210270635610
952214484730
1018302057352
117842041637
1236693a4460
13195899b947
14c589b7d8c
15721b71c1c
hex442e33b88

18302057352 has 128 divisors (see below), whose sum is σ = 53167104000. Its totient is φ = 5822498880.

The previous prime is 18302057351. The next prime is 18302057369. The reversal of 18302057352 is 25375020381.

It is a happy number.

18302057352 is a `hidden beast` number, since 1 + 8 + 30 + 2 + 0 + 573 + 52 = 666.

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 (18302057351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375827 + ... + 2383517.

It is an arithmetic number, because the mean of its divisors is an integer number (415368000).

Almost surely, 218302057352 is an apocalyptic number.

18302057352 is a gapful number since it is divisible by the number (12) 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 18302057352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26583552000).

18302057352 is an abundant number, since it is smaller than the sum of its proper divisors (34865046648).

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

18302057352 is a wasteful number, since it uses less digits than its factorization.

18302057352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 18302057352 in words is "eighteen billion, three hundred two million, fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 479 552 621 828 958 1242 1437 1656 1916 2484 2874 3832 4311 4968 5748 7691 8622 11017 11496 12933 15382 17244 22034 23073 25866 30764 33051 34488 44068 46146 51732 61528 66102 69219 88136 92292 99153 103464 132204 138438 176893 184584 198306 207657 264408 276876 297459 353786 396612 415314 530679 553752 594918 707572 793224 830628 1061358 1189836 1415144 1592037 1661256 2122716 2379672 3184074 3683989 4245432 4776111 6368148 7367978 9552222 11051967 12736296 14735956 19104444 22103934 29471912 33155901 38208888 44207868 66311802 84731747 88415736 99467703 132623604 169463494 198935406 254195241 265247208 338926988 397870812 508390482 677853976 762585723 795741624 1016780964 1525171446 2033561928 2287757169 3050342892 4575514338 6100685784 9151028676 18302057352