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18087014148 = 22374321011153
BaseRepresentation
bin10000110110000100…
…011110111100000100
31201200111220111222220
4100312010132330010
5244020233423043
612150431252340
71210133040450
oct206604367404
951614814886
1018087014148
117741714485
12360937a0b0
131923278448
14c381db660
1570cd45483
hex43611ef04

18087014148 has 144 divisors (see below), whose sum is σ = 49911958656. Its totient is φ = 4993228800.

The previous prime is 18087014129. The next prime is 18087014149. The reversal of 18087014148 is 84141078081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18087014149) 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, 15686340 + ... + 15687492.

It is an arithmetic number, because the mean of its divisors is an integer number (346610824).

Almost surely, 218087014148 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 18087014148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955979328).

18087014148 is an abundant number, since it is smaller than the sum of its proper divisors (31824944508).

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

18087014148 is a wasteful number, since it uses less digits than its factorization.

18087014148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 18087014148 in words is "eighteen billion, eighty-seven million, fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 101 129 172 202 258 301 303 404 516 602 606 707 903 1153 1204 1212 1414 1806 1849 2121 2306 2828 3459 3612 3698 4242 4343 4612 5547 6918 7396 8071 8484 8686 11094 12943 13029 13836 16142 17372 22188 24213 25886 26058 30401 32284 38829 48426 49579 51772 52116 60802 77658 91203 96852 99158 116453 121604 148737 155316 182406 186749 198316 232906 297474 347053 349359 364812 373498 465812 560247 594948 694106 698718 746996 815171 1041159 1120494 1307243 1388212 1397436 1630342 2082318 2131897 2240988 2445513 2614486 3260684 3921729 4164636 4263794 4891026 5007479 5228972 6395691 7843458 8527588 9782052 10014958 12791382 14923279 15022437 15686916 20029916 25582764 29846558 30044874 35052353 44769837 59693116 60089748 70104706 89539674 105157059 140209412 179079348 210314118 215321597 420628236 430643194 645964791 861286388 1291929582 1507251179 2583859164 3014502358 4521753537 6029004716 9043507074 18087014148