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245318818680 = 23325133110715803
BaseRepresentation
bin1110010001111000100…
…1000001101101111000
3212110012200122012120100
43210132021001231320
513004403104144210
6304410425355400
723503141360545
oct3443611015570
9773180565510
10245318818680
1195048094461
123b664938b60
131a1972b9910
14bc32c21bcc
1565abd8c5c0
hex391e241b78

245318818680 has 384 divisors, whose sum is σ = 894653061120. Its totient is φ = 57888414720.

The previous prime is 245318818637. The next prime is 245318818709. The reversal of 245318818680 is 86818813542.

245318818680 is a `hidden beast` number, since 2 + 453 + 1 + 8 + 8 + 186 + 8 + 0 = 666.

245318818680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15515659 + ... + 15531461.

It is an arithmetic number, because the mean of its divisors is an integer number (2329825680).

Almost surely, 2245318818680 is an apocalyptic number.

245318818680 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 245318818680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447326530560).

245318818680 is an abundant number, since it is smaller than the sum of its proper divisors (649334242440).

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

245318818680 is a wasteful number, since it uses less digits than its factorization.

245318818680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15964 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 245318818680 in words is "two hundred forty-five billion, three hundred eighteen million, eight hundred eighteen thousand, six hundred eighty".