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245755655040 = 27357192341843
BaseRepresentation
bin1110010011100000101…
…1011011001110000000
3212111100010121210101210
43210320023123032000
513011301421430130
6304522032330120
723520024413130
oct3447013331600
9774303553353
10245755655040
119525172a045
123b7670a3940
131a236957a7c
14bc74c54ac0
1565d53ca5b0
hex39382db380

245755655040 has 512 divisors, whose sum is σ = 983367475200. Its totient is φ = 50901295104.

The previous prime is 245755655029. The next prime is 245755655053. The reversal of 245755655040 is 40556557542.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5852359 + ... + 5894201.

It is an arithmetic number, because the mean of its divisors is an integer number (1920639600).

Almost surely, 2245755655040 is an apocalyptic number.

245755655040 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 245755655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491683737600).

245755655040 is an abundant number, since it is smaller than the sum of its proper divisors (737611820160).

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

245755655040 is a wasteful number, since it uses less digits than its factorization.

245755655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41914 (or 41902 counting only the distinct ones).

The product of its (nonzero) digits is 4200000, while the sum is 48.

The spelling of 245755655040 in words is "two hundred forty-five billion, seven hundred fifty-five million, six hundred fifty-five thousand, forty".