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204311311624 = 2375321298831
BaseRepresentation
bin1011111001000111100…
…1110011010100001000
3201112100210210000012201
42332101321303110020
511321412143432444
6233505340245544
720522011331440
oct2762171632410
9645323700181
10204311311624
1179714455462
123371b5408b4
131636059c244
149c62911120
1554abbdedd4
hex2f91e73508

204311311624 has 48 divisors (see below), whose sum is σ = 446226721920. Its totient is φ = 85909811520.

The previous prime is 204311311579. The next prime is 204311311657. The reversal of 204311311624 is 426113113402.

204311311624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2043113116242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204311311592 and 204311311601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492112 + ... + 806719.

It is an arithmetic number, because the mean of its divisors is an integer number (9296390040).

Almost surely, 2204311311624 is an apocalyptic number.

It is an amenable number.

204311311624 is an abundant number, since it is smaller than the sum of its proper divisors (241915410296).

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

204311311624 is a wasteful number, since it uses less digits than its factorization.

204311311624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298950 (or 1298893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 204311311624 in words is "two hundred four billion, three hundred eleven million, three hundred eleven thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2809 2968 5618 11236 19663 22472 39326 78652 157304 1298831 2597662 5195324 9091817 10390648 18183634 36367268 68838043 72734536 137676086 275352172 481866301 550704344 963732602 1927465204 3648416279 3854930408 7296832558 14593665116 25538913953 29187330232 51077827906 102155655812 204311311624