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13244027832 = 23327591373251
BaseRepresentation
bin11000101010110011…
…11101001110111000
31021011222222022201100
430111121331032320
5204110432342312
610030105251400
7646125244020
oct142531751670
937158868640
1013244027832
1156869aa152
122697493b60
131330b02c79
148d8d2ca80
15527aa65dc
hex31567d3b8

13244027832 has 192 divisors, whose sum is σ = 42005433600. Its totient is φ = 3691584000.

The previous prime is 13244027779. The next prime is 13244027851. The reversal of 13244027832 is 23872044231.

It is a happy number.

13244027832 is a `hidden beast` number, since 132 + 440 + 2 + 7 + 83 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072207 + ... + 4075457.

It is an arithmetic number, because the mean of its divisors is an integer number (218778300).

Almost surely, 213244027832 is an apocalyptic number.

13244027832 is a gapful number since it is divisible by the number (12) 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 13244027832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21002716800).

13244027832 is an abundant number, since it is smaller than the sum of its proper divisors (28761405768).

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

13244027832 is a wasteful number, since it uses less digits than its factorization.

13244027832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13244027832 in words is "thirteen billion, two hundred forty-four million, twenty-seven thousand, eight hundred thirty-two".