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245426247360 = 26325717811883
BaseRepresentation
bin1110010010010010001…
…0110101011011000000
3212110111011210011000100
43210210202311123000
513010113104403420
6304425224122400
723505614452650
oct3444442653300
9773434704010
10245426247360
11950a279a198
123b694906400
131a1b3631798
14bc431c8360
1565b650d190
hex39248b56c0

245426247360 has 672 divisors, whose sum is σ = 1023927270912. Its totient is φ = 52672757760.

The previous prime is 245426247359. The next prime is 245426247379. The reversal of 245426247360 is 63742624542.

245426247360 is a `hidden beast` number, since 2 + 4 + 5 + 42 + 6 + 247 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 277945479 + ... + 277946361.

It is an arithmetic number, because the mean of its divisors is an integer number (1523701296).

Almost surely, 2245426247360 is an apocalyptic number.

245426247360 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 245426247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511963635456).

245426247360 is an abundant number, since it is smaller than the sum of its proper divisors (778501023552).

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

245426247360 is a wasteful number, since it uses less digits than its factorization.

245426247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 245426247360 in words is "two hundred forty-five billion, four hundred twenty-six million, two hundred forty-seven thousand, three hundred sixty".