Search a number
-
+
872550911232 = 283471113127331
BaseRepresentation
bin11001011001010000001…
…01100100110100000000
310002102012120110220020000
430230220011210310000
5103243441013124412
61504502214120000
7120016424241450
oct14545005446400
93072176426200
10872550911232
11307057273170
12121133650000
1364386a3a550
1430335a81d60
1517a6c8384dc
hexcb28164d00

872550911232 has 1440 divisors, whose sum is σ = 3531454316544. Its totient is φ = 206928691200.

The previous prime is 872550911231. The next prime is 872550911237. The reversal of 872550911232 is 232119055278.

872550911232 is a `hidden beast` number, since 8 + 7 + 2 + 550 + 91 + 1 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×8725509112322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872550911231) 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, 2636105307 + ... + 2636105637.

Almost surely, 2872550911232 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 872550911232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765727158272).

872550911232 is an abundant number, since it is smaller than the sum of its proper divisors (2658903405312).

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

872550911232 is a wasteful number, since it uses less digits than its factorization.

872550911232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 872550911232 in words is "eight hundred seventy-two billion, five hundred fifty million, nine hundred eleven thousand, two hundred thirty-two".