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641054933364846 = 23711133123073311093
BaseRepresentation
bin1001000111000010010011101…
…1100101011011000001101110
310010001210020211112001200110010
42101300210323211123001232
51133011021000420133341
610151224323143554050
7252012455566062450
oct22160447345330156
93101706745050403
10641054933364846
11176294963686a90
125ba948a815b926
13216912b420a420
14b44331d7982d0
154e1a49b188716
hex247093b95b06e

641054933364846 has 768 divisors, whose sum is σ = 1791578679238656. Its totient is φ = 147673798272000.

The previous prime is 641054933364817. The next prime is 641054933364889. The reversal of 641054933364846 is 648463339450146.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 586509545076 + ... + 586509546168.

It is an arithmetic number, because the mean of its divisors is an integer number (2332784738592).

Almost surely, 2641054933364846 is an apocalyptic number.

641054933364846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 641054933364846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895789339619328).

641054933364846 is an abundant number, since it is smaller than the sum of its proper divisors (1150523745873810).

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

641054933364846 is a wasteful number, since it uses less digits than its factorization.

641054933364846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 66.

The spelling of 641054933364846 in words is "six hundred forty-one trillion, fifty-four billion, nine hundred thirty-three million, three hundred sixty-four thousand, eight hundred forty-six".