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6442940497 = 7672379541
BaseRepresentation
bin1100000000000011…
…10111100001010001
3121122000112021210211
412000001313201101
5101143343043442
62543154324121
7315443043040
oct60001674121
917560467724
106442940497
112806965614
1212b9889641
137b8a93436
14451990557
1527a97e617
hex180077851

6442940497 has 24 divisors (see below), whose sum is σ = 7508477760. Its totient is φ = 5415711840.

The previous prime is 6442940473. The next prime is 6442940503. The reversal of 6442940497 is 7940492446.

It is not a de Polignac number, because 6442940497 - 223 = 6434551889 is a prime.

It is a super-2 number, since 2×64429404972 = 83022964495765214018, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6442940497.

It is not an unprimeable number, because it can be changed into a prime (6442940417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11909047 + ... + 11909587.

It is an arithmetic number, because the mean of its divisors is an integer number (312853240).

Almost surely, 26442940497 is an apocalyptic number.

6442940497 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

6442940497 is a deficient number, since it is larger than the sum of its proper divisors (1065537263).

6442940497 is an equidigital number, since it uses as much as digits as its factorization.

6442940497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The square root of 6442940497 is about 80267.9294425862. The cubic root of 6442940497 is about 1860.7786173431.

The spelling of 6442940497 in words is "six billion, four hundred forty-two million, nine hundred forty thousand, four hundred ninety-seven".

Divisors: 1 7 67 379 469 541 2653 3787 4489 25393 31423 36247 177751 205039 253729 1435273 1701331 2428549 11909317 13737613 16999843 96163291 920420071 6442940497