Search a number
-
+
553090887360 = 263451117532153
BaseRepresentation
bin10000000110001101100…
…10010010111011000000
31221212121212002020020000
420003012302102323000
533030212231343420
61102030401120000
754650051654454
oct10030662227300
91855555066200
10553090887360
111a3623428a10
128b239029000
1340205374b1b
141caac258664
15e5c1a21690
hex80c6c92ec0

553090887360 has 1120 divisors, whose sum is σ = 2316506651712. Its totient is φ = 123756871680.

The previous prime is 553090887359. The next prime is 553090887361. The reversal of 553090887360 is 63788090355.

It is a happy number.

553090887360 is a `hidden beast` number, since 553 + 0 + 9 + 0 + 8 + 87 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553090887359) and next prime (553090887361).

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

It is a junction number, because it is equal to n+sod(n) for n = 553090887297 and 553090887306.

It is not an unprimeable number, because it can be changed into a prime (553090887361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 256892044 + ... + 256894196.

Almost surely, 2553090887360 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 553090887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158253325856).

553090887360 is an abundant number, since it is smaller than the sum of its proper divisors (1763415764352).

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

553090887360 is a wasteful number, since it uses less digits than its factorization.

553090887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 553090887360 in words is "five hundred fifty-three billion, ninety million, eight hundred eighty-seven thousand, three hundred sixty".