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245516730368 = 2207133183
BaseRepresentation
bin1110010010100111110…
…0000000000000000000
3212110201111001011100212
43210221330000000000
513010304240332433
6304442215333252
723511063526550
oct3445174000000
9773644034325
10245516730368
1195139880438
123b6bb081228
131a1c92c2520
14bc5121d160
1565be432d48
hex3929f00000

245516730368 has 336 divisors, whose sum is σ = 631359891456. Its totient is φ = 92861890560.

The previous prime is 245516730341. The next prime is 245516730377. The reversal of 245516730368 is 863037615542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2958032855 + ... + 2958032937.

It is an arithmetic number, because the mean of its divisors is an integer number (1879047296).

Almost surely, 2245516730368 is an apocalyptic number.

245516730368 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 245516730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315679945728).

245516730368 is an abundant number, since it is smaller than the sum of its proper divisors (385843161088).

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

245516730368 is an frugal number, since it uses more digits than its factorization.

245516730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 245516730368 in words is "two hundred forty-five billion, five hundred sixteen million, seven hundred thirty thousand, three hundred sixty-eight".