Search a number
-
+
11421529920 = 26325103139277
BaseRepresentation
bin10101010001100011…
…01011011101000000
31002110222121211120200
422220301223131000
5141342402424140
65125203005200
7553015255023
oct125061533500
932428554520
1011421529920
114931179529
122269069800
131100366838
147a4c7b1ba
1546caa7030
hex2a8c6b740

11421529920 has 336 divisors, whose sum is σ = 40096318080. Its totient is φ = 2983661568.

The previous prime is 11421529901. The next prime is 11421529939. The reversal of 11421529920 is 2992512411.

11421529920 is a `hidden beast` number, since 1 + 1 + 42 + 1 + 529 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11421529901) and next prime (11421529939).

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 47 ways as a sum of consecutive naturals, for example, 41232822 + ... + 41233098.

It is an arithmetic number, because the mean of its divisors is an integer number (119334280).

Almost surely, 211421529920 is an apocalyptic number.

11421529920 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 11421529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048159040).

11421529920 is an abundant number, since it is smaller than the sum of its proper divisors (28674788160).

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

11421529920 is a wasteful number, since it uses less digits than its factorization.

11421529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11421529920 in words is "eleven billion, four hundred twenty-one million, five hundred twenty-nine thousand, nine hundred twenty".