Search a number
-
+
18012244124160 = 29325111319536189
BaseRepresentation
bin1000001100001110011010…
…11010011010001000000000
32100202221202021002121102200
410012013031122122020000
54330103033443433120
6102150413303113200
73536225125610526
oct406071532321000
970687667077380
1018012244124160
115814a4a258a30
12202aa88142800
13a0871664a260
14463b239b6316
15213816c9be90
hex1061cd69a200

18012244124160 has 3840 divisors, whose sum is σ = 80786254348800. Its totient is φ = 3643696742400.

The previous prime is 18012244124143. The next prime is 18012244124197. The reversal of 18012244124160 is 6142144221081.

18012244124160 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 224 + 4 + 12 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202384765396 + ... + 202384765484.

It is an arithmetic number, because the mean of its divisors is an integer number (21038087070).

Almost surely, 218012244124160 is an apocalyptic number.

18012244124160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18012244124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40393127174400).

18012244124160 is an abundant number, since it is smaller than the sum of its proper divisors (62774010224640).

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

18012244124160 is a wasteful number, since it uses less digits than its factorization.

18012244124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18012244124160 in words is "eighteen trillion, twelve billion, two hundred forty-four million, one hundred twenty-four thousand, one hundred sixty".