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642443260230 = 2325192914718807
BaseRepresentation
bin10010101100101001001…
…10100011000101000110
32021102020222100001221100
421112110212203011012
541011210433311410
61211045004400530
764262225416332
oct11262446430506
92242228301840
10642443260230
11228505521172
12a4614b46146
1348774c64185
14231471327c2
1511aa10c38c0
hex95949a3146

642443260230 has 192 divisors, whose sum is σ = 1820338790400. Its totient is φ = 156580542720.

The previous prime is 642443260219. The next prime is 642443260241. The reversal of 642443260230 is 32062344246.

642443260230 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 43 + 2 + 602 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642443260219) and next prime (642443260241).

It is a super-2 number, since 2×6424432602302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72942487 + ... + 72951293.

It is an arithmetic number, because the mean of its divisors is an integer number (9480931200).

Almost surely, 2642443260230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642443260230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910169395200).

642443260230 is an abundant number, since it is smaller than the sum of its proper divisors (1177895530170).

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

642443260230 is a wasteful number, since it uses less digits than its factorization.

642443260230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 642443260230 in words is "six hundred forty-two billion, four hundred forty-three million, two hundred sixty thousand, two hundred thirty".