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18008298024 = 23353211229293
BaseRepresentation
bin10000110001011000…
…001101001000101000
31201111000210022202220
4100301120031020220
5243340111014044
612134540154040
71205156002413
oct206130151050
951430708686
1018008298024
11770123a932
1235a6b38920
13190cb77562
14c2b98ab7a
15705e97019
hex43160d228

18008298024 has 128 divisors (see below), whose sum is σ = 46446825600. Its totient is φ = 5816079360.

The previous prime is 18008298023. The next prime is 18008298041. The reversal of 18008298024 is 42089280081.

It is a Cunningham number, because it is equal to 1341952-1.

It is not an unprimeable number, because it can be changed into a prime (18008298023) 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, 61461622 + ... + 61461914.

It is an arithmetic number, because the mean of its divisors is an integer number (362865825).

Almost surely, 218008298024 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 18008298024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23223412800).

18008298024 is an abundant number, since it is smaller than the sum of its proper divisors (28438527576).

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

18008298024 is a wasteful number, since it uses less digits than its factorization.

18008298024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 18008298024 in words is "eighteen billion, eight million, two hundred ninety-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 211 212 229 293 318 422 424 458 586 633 636 687 844 879 916 1172 1266 1272 1374 1688 1758 1832 2344 2532 2748 3516 5064 5496 7032 11183 12137 15529 22366 24274 31058 33549 36411 44732 46587 48319 48548 61823 62116 67097 67098 72822 89464 93174 96638 97096 123646 124232 134194 134196 144957 145644 185469 186348 193276 201291 247292 268388 268392 289914 291288 370938 372696 386552 402582 494584 536776 579828 741876 805164 1159656 1483752 1610328 2560907 3276619 3556141 5121814 6553238 7112282 7682721 9829857 10243628 10668423 13106476 14157467 14224564 15365442 19659714 20487256 21336846 26212952 28314934 28449128 30730884 39319428 42472401 42673692 56629868 61461768 78638856 84944802 85347384 113259736 169889604 339779208 750345751 1500691502 2251037253 3001383004 4502074506 6002766008 9004149012 18008298024