Search a number
-
+
934665224064 = 273112132373217
BaseRepresentation
bin11011001100111100110…
…00110111111110000000
310022100112102111220220220
431212132120313332000
5110303143244132224
61553213531303040
7124345606214505
oct15463630677600
93270472456826
10934665224064
11330431174800
121311895aaa80
136a1a5527200
14333492694ac
15194a59ce279
hexd99e637f80

934665224064 has 576 divisors, whose sum is σ = 3035795681520. Its totient is φ = 254299668480.

The previous prime is 934665223991. The next prime is 934665224099. The reversal of 934665224064 is 460422566439.

It is a junction number, because it is equal to n+sod(n) for n = 934665223998 and 934665224016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290537784 + ... + 290541000.

Almost surely, 2934665224064 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 934665224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517897840760).

934665224064 is an abundant number, since it is smaller than the sum of its proper divisors (2101130457456).

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

934665224064 is a wasteful number, since it uses less digits than its factorization.

934665224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 934665224064 in words is "nine hundred thirty-four billion, six hundred sixty-five million, two hundred twenty-four thousand, sixty-four".