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230060595825984 = 2637111031009314969
BaseRepresentation
bin110100010011110100101000…
…000101110100110101000000
31010011120120121111001201101210
4310103310220011310311000
5220123303100012412414
62133144213443330120
766313221014024520
oct6423645005646500
91104516544051353
10230060595825984
1167339172749330
1221977350080940
139b4a80c722061
1440b4dc6a41680
151b8e60da61e59
hexd13d28174d40

230060595825984 has 448 divisors, whose sum is σ = 766396275240960. Its totient is φ = 59166027694080.

The previous prime is 230060595825979. The next prime is 230060595826001. The reversal of 230060595825984 is 489528595060032.

It is a tau number, because it is divible by the number of its divisors (448).

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, 15369128452 + ... + 15369143420.

It is an arithmetic number, because the mean of its divisors is an integer number (1710705971520).

Almost surely, 2230060595825984 is an apocalyptic number.

230060595825984 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 230060595825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383198137620480).

230060595825984 is an abundant number, since it is smaller than the sum of its proper divisors (536335679414976).

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

230060595825984 is a wasteful number, since it uses less digits than its factorization.

230060595825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25198 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 66.

The spelling of 230060595825984 in words is "two hundred thirty trillion, sixty billion, five hundred ninety-five million, eight hundred twenty-five thousand, nine hundred eighty-four".