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641434950 = 235521331131
BaseRepresentation
bin100110001110111…
…000010101000110
31122200222021100000
4212032320111012
52303201404300
6143352102130
721616051512
oct4616702506
91580867300
10641434950
112aa089632
1215a994946
13a2b75610
1461291142
153b4a4c00
hex263b8546

641434950 has 288 divisors, whose sum is σ = 2001871872. Its totient is φ = 151632000.

The previous prime is 641434943. The next prime is 641434979. The reversal of 641434950 is 59434146.

641434950 is a `hidden beast` number, since 641 + 4 + 3 + 4 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×6414349502 = 822877590163005000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4896385 + ... + 4896515.

It is an arithmetic number, because the mean of its divisors is an integer number (6950944).

Almost surely, 2641434950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641434950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000935936).

641434950 is an abundant number, since it is smaller than the sum of its proper divisors (1360436922).

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

641434950 is a wasteful number, since it uses less digits than its factorization.

641434950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 641434950 is about 25326.5660917543. The cubic root of 641434950 is about 862.4174590198.

The spelling of 641434950 in words is "six hundred forty-one million, four hundred thirty-four thousand, nine hundred fifty".