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230629095816 = 2337192322314087
BaseRepresentation
bin1101011011001010010…
…0001011100110001000
3211001021221022222002120
43112302210023212020
512234312022031231
6253541033531240
722443126653310
oct3266244134610
9731257288076
10230629095816
118989a126229
1238845273b20
1318995b29402
14b23bcc8440
155eec416d96
hex35b290b988

230629095816 has 256 divisors, whose sum is σ = 727076044800. Its totient is φ = 59439764736.

The previous prime is 230629095799. The next prime is 230629095841. The reversal of 230629095816 is 618590926032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16364725 + ... + 16378811.

It is an arithmetic number, because the mean of its divisors is an integer number (2840140800).

Almost surely, 2230629095816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230629095816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363538022400).

230629095816 is an abundant number, since it is smaller than the sum of its proper divisors (496446948984).

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

230629095816 is a wasteful number, since it uses less digits than its factorization.

230629095816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 230629095816 in words is "two hundred thirty billion, six hundred twenty-nine million, ninety-five thousand, eight hundred sixteen".