Search a number
-
+
215381418264 = 233217175965211
BaseRepresentation
bin1100100010010110111…
…0111010000100011000
3202120221022010200200100
43020211232322010120
512012100120341024
6242540031135400
721363231564015
oct3104556720430
9676838120610
10215381418264
1183385217421
12358aa974560
1317405ba1abc
14a5d2c3070c
1559089cb7c9
hex3225bba118

215381418264 has 48 divisors (see below), whose sum is σ = 617637894120. Its totient is φ = 67570640640.

The previous prime is 215381418221. The next prime is 215381418283. The reversal of 215381418264 is 462814183512.

215381418264 is a `hidden beast` number, since 2 + 1 + 5 + 381 + 4 + 1 + 8 + 264 = 666.

It is a super-3 number, since 3×2153814182643 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 87981382 + ... + 87983829.

Almost surely, 2215381418264 is an apocalyptic number.

215381418264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215381418264 is an abundant number, since it is smaller than the sum of its proper divisors (402256475856).

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

215381418264 is a wasteful number, since it uses less digits than its factorization.

215381418264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175965240 (or 175965233 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 215381418264 in words is "two hundred fifteen billion, three hundred eighty-one million, four hundred eighteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 175965211 351930422 527895633 703860844 1055791266 1407721688 1583686899 2111582532 2991408587 3167373798 4223165064 5982817174 6334747596 8974225761 11965634348 12669495192 17948451522 23931268696 26922677283 35896903044 53845354566 71793806088 107690709132 215381418264