Search a number
-
+
2158071552 = 28337134773
BaseRepresentation
bin1000000010100001…
…1000111100000000
312120101210101122000
42000220120330000
513404431242202
6554050544000
7104323206540
oct20050307400
95511711560
102158071552
11a081a210a
12502898000
13285141120
14166885320
15c96d891c
hex80a18f00

2158071552 has 576 divisors, whose sum is σ = 8131522560. Its totient is φ = 549421056.

The previous prime is 2158071533. The next prime is 2158071563. The reversal of 2158071552 is 2551708512.

2158071552 is a `hidden beast` number, since 2 + 1 + 580 + 71 + 5 + 5 + 2 = 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 (36).

It is a congruent number.

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, 29562588 + ... + 29562660.

Almost surely, 22158071552 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 2158071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065761280).

2158071552 is an abundant number, since it is smaller than the sum of its proper divisors (5973451008).

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

2158071552 is a wasteful number, since it uses less digits than its factorization.

2158071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 2158071552 is about 46455.0487245466. The cubic root of 2158071552 is about 1292.2760036186.

The spelling of 2158071552 in words is "two billion, one hundred fifty-eight million, seventy-one thousand, five hundred fifty-two".