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643522740 = 2235773139151
BaseRepresentation
bin100110010110110…
…110000010110100
31122211220100020120
4212112312002310
52304220211430
6143504531540
721642565410
oct4626660264
91584810216
10643522740
11300285183
1215b620bb0
13a34269b3
1461675d40
153b768610
hex265b60b4

643522740 has 192 divisors, whose sum is σ = 2116423680. Its totient is φ = 143078400.

The previous prime is 643522729. The next prime is 643522751. The reversal of 643522740 is 47225346.

It is an interprime number because it is at equal distance from previous prime (643522729) and next prime (643522751).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4261665 + ... + 4261815.

It is an arithmetic number, because the mean of its divisors is an integer number (11023040).

Almost surely, 2643522740 is an apocalyptic number.

643522740 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 643522740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058211840).

643522740 is an abundant number, since it is smaller than the sum of its proper divisors (1472900940).

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

643522740 is a wasteful number, since it uses less digits than its factorization.

643522740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 643522740 is about 25367.7499987681. The cubic root of 643522740 is about 863.3521324185.

The spelling of 643522740 in words is "six hundred forty-three million, five hundred twenty-two thousand, seven hundred forty".