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245641440464640 = 283351117197392707
BaseRepresentation
bin110111110110100011011010…
…110011010000111100000000
31012012202002111100001222022000
4313312203122303100330000
5224144042132224332030
62230234041521344000
7102512002613206623
oct6766433263207400
91165662440058260
10245641440464640
11712a5a4a312960
1223672b59498000
13a70ab71ba629c
14449317573ddba
151d5ea6e51b860
hexdf68dacd0f00

245641440464640 has 2304 divisors, whose sum is σ = 1061686434816000. Its totient is φ = 53005276938240.

The previous prime is 245641440464627. The next prime is 245641440464671. The reversal of 245641440464640 is 46464044146542.

245641440464640 is a `hidden beast` number, since 2 + 4 + 564 + 14 + 4 + 0 + 4 + 6 + 4 + 64 + 0 = 666.

245641440464640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 90743050167 + ... + 90743052873.

It is an arithmetic number, because the mean of its divisors is an integer number (460801404000).

Almost surely, 2245641440464640 is an apocalyptic number.

245641440464640 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 245641440464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530843217408000).

245641440464640 is an abundant number, since it is smaller than the sum of its proper divisors (816044994351360).

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

245641440464640 is a wasteful number, since it uses less digits than its factorization.

245641440464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 245641440464640 in words is "two hundred forty-five trillion, six hundred forty-one billion, four hundred forty million, four hundred sixty-four thousand, six hundred forty".