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230352046848 = 28327112634937
BaseRepresentation
bin1101011010001000001…
…1010100101100000000
3211000120122000102100200
43112202003110230000
512233230110444343
6253453335445200
722433224043340
oct3264203245400
9730518012320
10230352046848
11897677a8240
1238788526800
1318950606001
14b2131aad20
155ed2e3d4d3
hex35a20d4b00

230352046848 has 432 divisors, whose sum is σ = 831362628096. Its totient is φ = 59592130560.

The previous prime is 230352046823. The next prime is 230352046853. The reversal of 230352046848 is 848640253032.

230352046848 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 520 + 46 + 84 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46655836 + ... + 46660772.

It is an arithmetic number, because the mean of its divisors is an integer number (1924450528).

Almost surely, 2230352046848 is an apocalyptic number.

230352046848 is a gapful number since it is divisible by the number (28) 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 230352046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415681314048).

230352046848 is an abundant number, since it is smaller than the sum of its proper divisors (601010581248).

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

230352046848 is a wasteful number, since it uses less digits than its factorization.

230352046848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 230352046848 in words is "two hundred thirty billion, three hundred fifty-two million, forty-six thousand, eight hundred forty-eight".