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230369197960704 = 29311235361183361
BaseRepresentation
bin110100011000010100000010…
…001101100010111000000000
31010012200002011111102110121010
4310120110002031202320000
5220143332104134220304
62133542052030200520
766344424323630145
oct6430240215427000
91105602144373533
10230369197960704
1167448034599780
1221a07116353140
139b709507591ba
1440c5d003cc3cc
151b9767150b789
hexd18502362e00

230369197960704 has 640 divisors, whose sum is σ = 723473952132096. Its totient is φ = 64439451648000.

The previous prime is 230369197960691. The next prime is 230369197960751. The reversal of 230369197960704 is 407069791963032.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256277984 + ... + 1256461344.

Almost surely, 2230369197960704 is an apocalyptic number.

230369197960704 is a gapful number since it is divisible by the number (24) 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 230369197960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361736976066048).

230369197960704 is an abundant number, since it is smaller than the sum of its proper divisors (493104754171392).

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

230369197960704 is a wasteful number, since it uses less digits than its factorization.

230369197960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183530 (or 183514 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 66.

The spelling of 230369197960704 in words is "two hundred thirty trillion, three hundred sixty-nine billion, one hundred ninety-seven million, nine hundred sixty thousand, seven hundred four".