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18054381960432 = 2432615072038429
BaseRepresentation
bin1000001101011100111010…
…00001011111110011110000
32100220222111220212110222100
410012232131001133303300
54331300333240213212
6102222022451140400
73542246262402246
oct406563501376360
970828456773870
1018054381960432
115830902a38004
122037087ba4700
13a0c6a05a739c
14465ba007c796
152149812c1bdc
hex106b9d05fcf0

18054381960432 has 60 divisors (see below), whose sum is σ = 50528040233320. Its totient is φ = 6018026523264.

The previous prime is 18054381960389. The next prime is 18054381960463. The reversal of 18054381960432 is 23406918345081.

It is a happy number.

18054381960432 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 43 + 81 + 96 + 0 + 432 = 666.

It is a super-2 number, since 2×180543819604322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7837794 + ... + 9876222.

Almost surely, 218054381960432 is an apocalyptic number.

18054381960432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18054381960432 is an abundant number, since it is smaller than the sum of its proper divisors (32473658272888).

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

18054381960432 is a wasteful number, since it uses less digits than its factorization.

18054381960432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099950 (or 2099941 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18054381960432 in words is "eighteen trillion, fifty-four billion, three hundred eighty-one million, nine hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 61507 123014 184521 246028 369042 492056 553563 738084 984112 1107126 1476168 2038429 2214252 2952336 4076858 4428504 6115287 8153716 8857008 12230574 16307432 18345861 24461148 32614864 36691722 48922296 73383444 97844592 146766888 293533776 125377652503 250755305006 376132957509 501510610012 752265915018 1003021220024 1128398872527 1504531830036 2006042440048 2256797745054 3009063660072 4513595490108 6018127320144 9027190980216 18054381960432