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245406135744 = 263271153104399
BaseRepresentation
bin1110010010001101011…
…0000111010111000000
3212110102202221101001200
43210203112013113000
513010042432320434
6304423225101200
723505251510340
oct3444326072700
9773382841050
10245406135744
1195092403020
123b68a027800
131a1ac40c613
14bc40670d20
1565b4889199
hex39235875c0

245406135744 has 336 divisors, whose sum is σ = 893537049600. Its totient is φ = 62538577920.

The previous prime is 245406135713. The next prime is 245406135749. The reversal of 245406135744 is 447531604542.

245406135744 is a `hidden beast` number, since 2 + 4 + 540 + 6 + 1 + 35 + 74 + 4 = 666.

245406135744 is digitally balanced in base 3, 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 (336).

It is a self number, because there is not a number n which added to its sum of digits gives 245406135744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245406135749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298457 + ... + 2402855.

Almost surely, 2245406135744 is an apocalyptic number.

245406135744 is a gapful number since it is divisible by the number (24) 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 245406135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446768524800).

245406135744 is an abundant number, since it is smaller than the sum of its proper divisors (648130913856).

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

245406135744 is a wasteful number, since it uses less digits than its factorization.

245406135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104488 (or 104475 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 245406135744 in words is "two hundred forty-five billion, four hundred six million, one hundred thirty-five thousand, seven hundred forty-four".