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245324790240 = 253543103167691
BaseRepresentation
bin1110010001111001111…
…1110011100111100000
3212110020002212121000020
43210132133303213200
513004411121241430
6304411201353440
723503243211415
oct3443637634740
9773202777006
10245324790240
11950504a2a32
123b666938880
131a1985ca99a
14bc3393810c
1565ac66bb10
hex391e7f39e0

245324790240 has 384 divisors, whose sum is σ = 804365033472. Its totient is φ = 62808238080.

The previous prime is 245324790233. The next prime is 245324790247. The reversal of 245324790240 is 42097423542.

It is an interprime number because it is at equal distance from previous prime (245324790233) and next prime (245324790247).

It is a junction number, because it is equal to n+sod(n) for n = 245324790192 and 245324790201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245324790247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355028295 + ... + 355028985.

It is an arithmetic number, because the mean of its divisors is an integer number (2094700608).

Almost surely, 2245324790240 is an apocalyptic number.

245324790240 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 245324790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402182516736).

245324790240 is an abundant number, since it is smaller than the sum of its proper divisors (559040243232).

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

245324790240 is a wasteful number, since it uses less digits than its factorization.

245324790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 245324790240 in words is "two hundred forty-five billion, three hundred twenty-four million, seven hundred ninety thousand, two hundred forty".