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230896196657280 = 273257211127585601
BaseRepresentation
bin110100011111111110110101…
…110010000010000010000000
31010021112110102221110001220200
4310133332311302002002000
5220231000402321013110
62135024125353205200
766430461666633600
oct6437766562020200
91107473387401820
10230896196657280
116763058861a550
1221a91291100800
139bab55821c47b
1441036151d4c00
151ba62175186c0
hexd1ffb5c82080

230896196657280 has 1152 divisors, whose sum is σ = 1019772757186560. Its totient is φ = 47600566272000.

The previous prime is 230896196657237. The next prime is 230896196657327. The reversal of 230896196657280 is 82756691698032.

It is a happy number.

230896196657280 is a `hidden beast` number, since 2 + 30 + 8 + 9 + 6 + 19 + 6 + 6 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 230896196657199 and 230896196657208.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393996480 + ... + 394582080.

It is an arithmetic number, because the mean of its divisors is an integer number (885219407280).

Almost surely, 2230896196657280 is an apocalyptic number.

230896196657280 is a gapful number since it is divisible by the number (20) 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 230896196657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509886378593280).

230896196657280 is an abundant number, since it is smaller than the sum of its proper divisors (788876560529280).

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

230896196657280 is a wasteful number, since it uses less digits than its factorization.

230896196657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585778 (or 585756 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 230896196657280 in words is "two hundred thirty trillion, eight hundred ninety-six billion, one hundred ninety-six million, six hundred fifty-seven thousand, two hundred eighty".