Search a number
-
+
969362538240 = 28351937734919
BaseRepresentation
bin11100001101100101000…
…00100111111100000000
310102200002112122002222010
432012302200213330000
5111340223302210430
62021152523212520
7130014464424045
oct16066240477400
93380075562863
10969362538240
11344116977468
12137a51677140
1370544b1c745
1434cbb4a31cc
151a336bbecb0
hexe1b2827f00

969362538240 has 576 divisors, whose sum is σ = 3393458611200. Its totient is φ = 234961108992.

The previous prime is 969362538229. The next prime is 969362538247. The reversal of 969362538240 is 42835263969.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969362538247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 197062501 + ... + 197067419.

It is an arithmetic number, because the mean of its divisors is an integer number (5891421200).

Almost surely, 2969362538240 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 969362538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696729305600).

969362538240 is an abundant number, since it is smaller than the sum of its proper divisors (2424096072960).

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

969362538240 is a wasteful number, since it uses less digits than its factorization.

969362538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 969362538240 in words is "nine hundred sixty-nine billion, three hundred sixty-two million, five hundred thirty-eight thousand, two hundred forty".