Search a number
-
+
924328066464 = 253311613158657
BaseRepresentation
bin11010111001101100011…
…11101111110110100000
310021100212000022220112000
431130312033233312200
5110121010441111324
61544344102204000
7123531465634005
oct15346617576640
93240760286460
10924328066464
11327007107250
1212b183723600
1369218a2c0ca
1432a4841d8ac
151909d2229c9
hexd7363efda0

924328066464 has 192 divisors, whose sum is σ = 2945860202880. Its totient is φ = 279640719360.

The previous prime is 924328066439. The next prime is 924328066481. The reversal of 924328066464 is 464660823429.

924328066464 is a `hidden beast` number, since 9 + 2 + 43 + 2 + 80 + 66 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 924328066464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746624 + ... + 5905280.

It is an arithmetic number, because the mean of its divisors is an integer number (15343021890).

Almost surely, 2924328066464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 924328066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472930101440).

924328066464 is an abundant number, since it is smaller than the sum of its proper divisors (2021532136416).

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

924328066464 is a wasteful number, since it uses less digits than its factorization.

924328066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159300 (or 159286 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 924328066464 in words is "nine hundred twenty-four billion, three hundred twenty-eight million, sixty-six thousand, four hundred sixty-four".