Search a number
-
+
2115482688 = 2632112127239
BaseRepresentation
bin111111000010111…
…1011010001000000
312110102122122200200
41332011323101000
513313030421223
6545530045200
7103265210004
oct17605732100
95412578620
102115482688
11996153500
124b0579800
1327937c107
14160d5a704
15c5ac4a43
hex7e17b440

2115482688 has 252 divisors, whose sum is σ = 6745589760. Its totient is φ = 633346560.

The previous prime is 2115482683. The next prime is 2115482711. The reversal of 2115482688 is 8862845112.

2115482688 is a `hidden beast` number, since 2 + 1 + 1 + 548 + 26 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (2115482683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8851273 + ... + 8851511.

Almost surely, 22115482688 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 2115482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372794880).

2115482688 is an abundant number, since it is smaller than the sum of its proper divisors (4630107072).

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

2115482688 is a wasteful number, since it uses less digits than its factorization.

2115482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 2115482688 is about 45994.3766997662. The cubic root of 2115482688 is about 1283.7185745931.

The spelling of 2115482688 in words is "two billion, one hundred fifteen million, four hundred eighty-two thousand, six hundred eighty-eight".