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180018000197982 = 23322997714900201
BaseRepresentation
bin101000111011100110110100…
…111101000111100101011110
3212121101112220221201100112000
4220323212310331013211132
5142043403331022313412
61434511043322023130
752626604601401122
oct5073466475074536
9777345827640460
10180018000197982
11523a52290634a1
1218234840047aa6
13795a81727788b
143264cbc245582
1515c2a346004dc
hexa3b9b4f4795e

180018000197982 has 64 divisors (see below), whose sum is σ = 402198172545600. Its totient is φ = 59682810700800.

The previous prime is 180018000197951. The next prime is 180018000197983. The reversal of 180018000197982 is 289791000810081.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180018000197983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631482 + ... + 19531682.

It is an arithmetic number, because the mean of its divisors is an integer number (6284346446025).

Almost surely, 2180018000197982 is an apocalyptic number.

180018000197982 is an abundant number, since it is smaller than the sum of its proper divisors (222180172347618).

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

180018000197982 is a wasteful number, since it uses less digits than its factorization.

180018000197982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901418 (or 14901412 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 180018000197982 in words is "one hundred eighty trillion, eighteen billion, one hundred ninety-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 229 458 687 977 1374 1954 2061 2931 4122 5862 6183 8793 12366 17586 26379 52758 223733 447466 671199 1342398 2013597 4027194 6040791 12081582 14900201 29800402 44700603 89401206 134101809 268203618 402305427 804610854 3412146029 6824292058 10236438087 14557496377 20472876174 29114992754 30709314261 43672489131 61418628522 87344978262 92127942783 131017467393 184255885566 262034934786 393052402179 786104804358 3333666670333 6667333340666 10001000010999 20002000021998 30003000032997 60006000065994 90009000098991 180018000197982