Search a number
-
+
10864005120 = 2123553759
BaseRepresentation
bin10100001111000101…
…11001000000000000
31001001010112122100000
422013202321000000
5134222141130440
64554005200000
7533135343213
oct120742710000
931033478300
1010864005120
1146754a1931
122132400000
1310419c02c7
14750bcd77a
15438b79730
hex2878b9000

10864005120 has 624 divisors, whose sum is σ = 40787248320. Its totient is φ = 2770993152.

The previous prime is 10864005101. The next prime is 10864005181. The reversal of 10864005120 is 2150046801.

10864005120 is a `hidden beast` number, since 1 + 0 + 8 + 640 + 0 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184135651 + ... + 184135709.

It is an arithmetic number, because the mean of its divisors is an integer number (65364180).

Almost surely, 210864005120 is an apocalyptic number.

10864005120 is a gapful number since it is divisible by the number (10) 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 10864005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393624160).

10864005120 is an abundant number, since it is smaller than the sum of its proper divisors (29923243200).

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

10864005120 is an frugal number, since it uses more digits than its factorization.

10864005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10864005120 in words is "ten billion, eight hundred sixty-four million, five thousand, one hundred twenty".