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18084754350 = 23252137143541
BaseRepresentation
bin10000110101111011…
…110111001110101110
31201200100122201010200
4100311323313032232
5244014144114400
612150311014330
71210104606225
oct206573671656
951610581120
1018084754350
117740410683
12360866a3a6
1319229669a0
14c37badcbc
1570ca4ab00
hex435ef73ae

18084754350 has 144 divisors (see below), whose sum is σ = 53063416224. Its totient is φ = 4388832000.

The previous prime is 18084754333. The next prime is 18084754357. The reversal of 18084754350 is 5345748081.

18084754350 is a `hidden beast` number, since 18 + 0 + 8 + 47 + 543 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 18084754296 and 18084754305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18084754357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393580 + ... + 437120.

It is an arithmetic number, because the mean of its divisors is an integer number (368495946).

Almost surely, 218084754350 is an apocalyptic number.

18084754350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18084754350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531708112).

18084754350 is an abundant number, since it is smaller than the sum of its proper divisors (34978661874).

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

18084754350 is a wasteful number, since it uses less digits than its factorization.

18084754350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43643 (or 43635 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 18084754350 in words is "eighteen billion, eighty-four million, seven hundred fifty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 71 75 78 90 117 130 142 150 195 213 225 234 325 355 390 426 450 585 639 650 710 923 975 1065 1170 1278 1775 1846 1950 2130 2769 2925 3195 3550 4615 5325 5538 5850 6390 8307 9230 10650 13845 15975 16614 23075 27690 31950 41535 43541 46150 69225 83070 87082 130623 138450 207675 217705 261246 391869 415350 435410 566033 653115 783738 1088525 1132066 1306230 1698099 1959345 2177050 2830165 3091411 3265575 3396198 3918690 5094297 5660330 6182822 6531150 8490495 9274233 9796725 10188594 14150825 15457055 16980990 18548466 19593450 25471485 27822699 28301650 30914110 40188343 42452475 46371165 50942970 55645398 77285275 80376686 84904950 92742330 120565029 127357425 139113495 154570550 200941715 231855825 241130058 254714850 278226990 361695087 401883430 463711650 602825145 695567475 723390174 1004708575 1205650290 1391134950 1808475435 2009417150 3014125725 3616950870 6028251450 9042377175 18084754350