Search a number
-
+
16764023430 = 232571143101557
BaseRepresentation
bin11111001110011011…
…01011001010000110
31121021022110121220200
433213031223022012
5233313042222210
611411251111330
71132266563610
oct174715531206
947238417820
1016764023430
117122943a20
1232ba2a2546
1317721509bb
14b50613db0
15681b130c0
hex3e736b286

16764023430 has 384 divisors, whose sum is σ = 56256685056. Its totient is φ = 3362688000.

The previous prime is 16764023411. The next prime is 16764023443. The reversal of 16764023430 is 3432046761.

It is a happy number.

16764023430 is a `hidden beast` number, since 1 + 6 + 7 + 640 + 2 + 3 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30096712 + ... + 30097268.

It is an arithmetic number, because the mean of its divisors is an integer number (146501784).

Almost surely, 216764023430 is an apocalyptic number.

16764023430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16764023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28128342528).

16764023430 is an abundant number, since it is smaller than the sum of its proper divisors (39492661626).

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

16764023430 is a wasteful number, since it uses less digits than its factorization.

16764023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 16764023430 in words is "sixteen billion, seven hundred sixty-four million, twenty-three thousand, four hundred thirty".