Search a number
-
+
53286992640 = 2833571911593
BaseRepresentation
bin110001101000001001…
…101111101100000000
312002112122212200212000
4301220021233230000
51333112432231030
640251341104000
73564333651450
oct615011575400
9162478780760
1053286992640
11206651332a2
12a3b1858000
135042a4969b
1428170c1d60
1515bd228860
hexc6826fb00

53286992640 has 576 divisors, whose sum is σ = 227502105600. Its totient is φ = 11537842176.

The previous prime is 53286992579. The next prime is 53286992651. The reversal of 53286992640 is 4629968235.

It is a happy number.

53286992640 is a `hidden beast` number, since 532 + 8 + 69 + 9 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4590684 + ... + 4602276.

Almost surely, 253286992640 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 53286992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113751052800).

53286992640 is an abundant number, since it is smaller than the sum of its proper divisors (174215112960).

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

53286992640 is a wasteful number, since it uses less digits than its factorization.

53286992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 53286992640 in words is "fifty-three billion, two hundred eighty-six million, nine hundred ninety-two thousand, six hundred forty".