Search a number
-
+
870155136000 = 2103453234189
BaseRepresentation
bin11001010100110010100…
…10011010110000000000
310002012000121101220110000
430222121102122300000
5103224034203323000
61503424352240000
7116603153422143
oct14523122326000
93065017356400
10870155136000
11306037986837
12120785240000
13640945a0877
143018980205a
151797c349000
hexca9949ac00

870155136000 has 1760 divisors, whose sum is σ = 3505345683840. Its totient is φ = 214106112000.

The previous prime is 870155135999. The next prime is 870155136047. The reversal of 870155136000 is 631551078.

870155136000 is a `hidden beast` number, since 8 + 70 + 1 + 551 + 36 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9777023956 + ... + 9777024044.

It is an arithmetic number, because the mean of its divisors is an integer number (1991673684).

Almost surely, 2870155136000 is an apocalyptic number.

870155136000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870155136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752672841920).

870155136000 is an abundant number, since it is smaller than the sum of its proper divisors (2635190547840).

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

870155136000 is a wasteful number, since it uses less digits than its factorization.

870155136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 870155136000 its reverse (631551078), we get a palindrome (870786687078).

The spelling of 870155136000 in words is "eight hundred seventy billion, one hundred fifty-five million, one hundred thirty-six thousand".