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18005602140216 = 23321493135362219
BaseRepresentation
bin1000001100000010000011…
…00001010000000000111000
32100202022121101000212100100
410012001001201100000320
54330000433121441331
6102143354234235400
73535601414643045
oct406010141200070
970668541025310
1018005602140216
1158121510040a9
122029733885b60
13a07bc8576042
144636938121cc
15213578b01ae6
hex106041850038

18005602140216 has 96 divisors (see below), whose sum is σ = 49249309590000. Its totient is φ = 5942538680832.

The previous prime is 18005602140191. The next prime is 18005602140367. The reversal of 18005602140216 is 61204120650081.

It is a happy number.

18005602140216 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 5 + 602 + 1 + 40 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676755 + ... + 6038973.

Almost surely, 218005602140216 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 18005602140216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624654795000).

18005602140216 is an abundant number, since it is smaller than the sum of its proper divisors (31243707449784).

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

18005602140216 is a wasteful number, since it uses less digits than its factorization.

18005602140216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362693 (or 5362686 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 18005602140216 its reverse (61204120650081), we get a palindrome (79209722790297).

The spelling of 18005602140216 in words is "eighteen trillion, five billion, six hundred two million, one hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 313 447 596 626 894 939 1192 1252 1341 1788 1878 2504 2682 2817 3576 3756 5364 5634 7512 10728 11268 22536 46637 93274 139911 186548 279822 373096 419733 559644 839466 1119288 1678932 3357864 5362219 10724438 16086657 21448876 32173314 42897752 48259971 64346628 96519942 128693256 193039884 386079768 798970631 1597941262 1678374547 2396911893 3195882524 3356749094 4793823786 5035123641 6391765048 6713498188 7190735679 9587647572 10070247282 13426996376 14381471358 15105370923 19175295144 20140494564 28762942716 30210741846 40280989128 57525885432 60421483692 120842967384 250077807503 500155615006 750233422509 1000311230012 1500466845018 2000622460024 2250700267527 3000933690036 4501400535054 6001867380072 9002801070108 18005602140216