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4603957343040 = 26351122953107241
BaseRepresentation
bin100001011111111000100…
…1111011111001101000000
3121022010121200222121112010
41002333301033133031000
51100412401034434130
613443010115532520
7653424232502316
oct102776117371500
917263550877463
104603957343040
111515588993600
1262433bbba140
132751c7590633
1411cb92dd20b6
157eb5d4740b0
hex42ff13df340

4603957343040 has 1344 divisors, whose sum is σ = 17164088282880. Its totient is φ = 1043064422400.

The previous prime is 4603957343003. The next prime is 4603957343059. The reversal of 4603957343040 is 403437593064.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19103557320 + ... + 19103557560.

It is an arithmetic number, because the mean of its divisors is an integer number (12770899020).

Almost surely, 24603957343040 is an apocalyptic number.

4603957343040 is a gapful number since it is divisible by the number (40) 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 4603957343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582044141440).

4603957343040 is an abundant number, since it is smaller than the sum of its proper divisors (12560130939840).

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

4603957343040 is a wasteful number, since it uses less digits than its factorization.

4603957343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 4603957343040 in words is "four trillion, six hundred three billion, nine hundred fifty-seven million, three hundred forty-three thousand, forty".