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245817040896 = 213337237613
BaseRepresentation
bin1110010011101111010…
…1100110000000000000
3212111111102010111222000
43210323311212000000
513011413130302041
6304532104144000
723521401241500
oct3447365460000
9774442114860
10245817040896
1195283347159
123b783768000
131a24659b76b
14bc7d073a00
1565da9a3bb6
hex393bd66000

245817040896 has 672 divisors, whose sum is σ = 871525795680. Its totient is φ = 68223762432.

The previous prime is 245817040883. The next prime is 245817040901. The reversal of 245817040896 is 698040718542.

It is a happy number.

245817040896 is a `hidden beast` number, since 2 + 4 + 5 + 81 + 70 + 408 + 96 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401006286 + ... + 401006898.

Almost surely, 2245817040896 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 245817040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435762897840).

245817040896 is an abundant number, since it is smaller than the sum of its proper divisors (625708754784).

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

245817040896 is an equidigital number, since it uses as much as digits as its factorization.

245817040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 245817040896 in words is "two hundred forty-five billion, eight hundred seventeen million, forty thousand, eight hundred ninety-six".