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180113141824 = 2671137987809
BaseRepresentation
bin1010011110111110010…
…1000111000001000000
3122012220101122121122121
42213233211013001000
510422332431014244
6214424241414024
716004241305440
oct2475745070100
9565811577577
10180113141824
116a42719a320
122aaa763a314
1313ca5209985
148a08c4c120
154a42606c84
hex29ef947040

180113141824 has 112 divisors (see below), whose sum is σ = 457648421760. Its totient is φ = 68277288960.

The previous prime is 180113141809. The next prime is 180113141833. The reversal of 180113141824 is 428141311081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 180113141824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311569 + ... + 676240.

Almost surely, 2180113141824 is an apocalyptic number.

180113141824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

180113141824 is an abundant number, since it is smaller than the sum of its proper divisors (277535279936).

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

180113141824 is a wasteful number, since it uses less digits than its factorization.

180113141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987876 (or 987866 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 180113141824 in words is "one hundred eighty billion, one hundred thirteen million, one hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 148 154 176 224 259 296 308 352 407 448 518 592 616 704 814 1036 1184 1232 1628 2072 2368 2464 2849 3256 4144 4928 5698 6512 8288 11396 13024 16576 22792 26048 45584 91168 182336 987809 1975618 3951236 6914663 7902472 10865899 13829326 15804944 21731798 27658652 31609888 36548933 43463596 55317304 63219776 73097866 76061293 86927192 110634608 146195732 152122586 173854384 221269216 255842531 292391464 304245172 347708768 402038263 442538432 511685062 584782928 608490344 695417536 804076526 1023370124 1169565856 1216980688 1608153052 2046740248 2339131712 2433961376 2814267841 3216306104 4093480496 4867922752 5628535682 6432612208 8186960992 11257071364 12865224416 16373921984 22514142728 25730448832 45028285456 90056570912 180113141824