Search a number
-
+
646042997824 = 26723124632
BaseRepresentation
bin10010110011010110010…
…10011101010001000000
32021202112211212200120221
421121223022131101000
541041044001412244
61212442115312424
764450355606200
oct11315312352100
92252484780527
10646042997824
11229a92480314
12a525a5ab714
1348bc9981a13
14233a9254400
1511c12132784
hex966b29d440

646042997824 has 189 divisors, whose sum is σ = 1544289854391. Its totient is φ = 267365387520.

The previous prime is 646042997819. The next prime is 646042997833. The reversal of 646042997824 is 428799240646.

The square root of 646042997824 is 803768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1395341017 + ... + 1395341479.

Almost surely, 2646042997824 is an apocalyptic number.

646042997824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

646042997824 is the 803768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646042997824

646042997824 is an abundant number, since it is smaller than the sum of its proper divisors (898246856567).

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

646042997824 is an frugal number, since it uses more digits than its factorization.

646042997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 646042997824 in words is "six hundred forty-six billion, forty-two million, nine hundred ninety-seven thousand, eight hundred twenty-four".