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643912329060 = 2233574111323151
BaseRepresentation
bin10010101111011000010…
…10100110011101100100
32021120001100122111112000
421113230022212131210
541022213024012220
61211450443525300
764343514330000
oct11275412463544
92246040574460
10643912329060
112290997a5340
12a4964b29830
134894a416680
14232462a3700
1511b3a05d390
hex95ec2a6764

643912329060 has 1920 divisors, whose sum is σ = 2883941867520. Its totient is φ = 117355392000.

The previous prime is 643912329029. The next prime is 643912329103. The reversal of 643912329060 is 60923219346.

643912329060 is a `hidden beast` number, since 6 + 439 + 123 + 2 + 90 + 6 + 0 = 666.

643912329060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 643912328997 and 643912329015.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4264319985 + ... + 4264320135.

It is an arithmetic number, because the mean of its divisors is an integer number (1502053056).

Almost surely, 2643912329060 is an apocalyptic number.

643912329060 is a gapful number since it is divisible by the number (60) 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 643912329060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441970933760).

643912329060 is an abundant number, since it is smaller than the sum of its proper divisors (2240029538460).

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

643912329060 is a wasteful number, since it uses less digits than its factorization.

643912329060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 643912329060 in words is "six hundred forty-three billion, nine hundred twelve million, three hundred twenty-nine thousand, sixty".