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218160045144 = 23331759411777
BaseRepresentation
bin1100101100101101011…
…0100001110001011000
3202212002221121120012000
43023023112201301120
512033242432421034
6244115450521000
721522131534016
oct3131326416130
9685087546160
10218160045144
1184580726978
1236345436160
1317759757912
14a7b7c8d8b6
155a1c8e3599
hex32cb5a1c58

218160045144 has 64 divisors (see below), whose sum is σ = 641647202400. Its totient is φ = 68442365952.

The previous prime is 218160045143. The next prime is 218160045223. The reversal of 218160045144 is 441540061812.

218160045144 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 600 + 4 + 5 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 218160045099 and 218160045108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218160045143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29702217 + ... + 29709560.

Almost surely, 2218160045144 is an apocalyptic number.

218160045144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

218160045144 is an abundant number, since it is smaller than the sum of its proper divisors (423487157256).

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

218160045144 is a wasteful number, since it uses less digits than its factorization.

218160045144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59411809 (or 59411799 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 218160045144 in words is "two hundred eighteen billion, one hundred sixty million, forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 59411777 118823554 178235331 237647108 356470662 475294216 534705993 712941324 1010000209 1069411986 1425882648 1604117979 2020000418 2138823972 3030000627 3208235958 4040000836 4277647944 6060001254 6416471916 8080001672 9090001881 12120002508 12832943832 18180003762 24240005016 27270005643 36360007524 54540011286 72720015048 109080022572 218160045144