Search a number
-
+
12929291388 = 223313591271229
BaseRepresentation
bin11000000101010010…
…10101010001111100
31020101001202001111000
430002221111101330
5202434344311023
65534543330300
7635254110036
oct140251252174
936331661430
1012929291388
11553527aa92
122609bb0990
1312b08457a0
148a9200c56
1550a136243
hex302a5547c

12929291388 has 192 divisors, whose sum is σ = 37029888000. Its totient is φ = 3876864768.

The previous prime is 12929291387. The next prime is 12929291449. The reversal of 12929291388 is 88319292921.

12929291388 is a `hidden beast` number, since 1 + 2 + 92 + 92 + 91 + 388 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929291383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10519558 + ... + 10520786.

It is an arithmetic number, because the mean of its divisors is an integer number (192864000).

Almost surely, 212929291388 is an apocalyptic number.

12929291388 is a gapful number since it is divisible by the number (18) 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 12929291388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514944000).

12929291388 is an abundant number, since it is smaller than the sum of its proper divisors (24100596612).

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

12929291388 is a wasteful number, since it uses less digits than its factorization.

12929291388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 12929291388 in words is "twelve billion, nine hundred twenty-nine million, two hundred ninety-one thousand, three hundred eighty-eight".