Search a number
-
+
13063854272 = 2671722341107
BaseRepresentation
bin11000010101010101…
…01001100011000000
31020201102221120001112
430022222221203000
5203223321314042
610000151422452
7641506633460
oct141252514300
936642846045
1013063854272
1155a4229087
122647084a28
13130269b0b1
148bd02bba0
15516d66982
hex30aaa98c0

13063854272 has 336 divisors, whose sum is σ = 33955987968. Its totient is φ = 4871454720.

The previous prime is 13063854269. The next prime is 13063854277. The reversal of 13063854272 is 27245836031.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13063854277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122092043 + ... + 122092149.

It is an arithmetic number, because the mean of its divisors is an integer number (101059488).

Almost surely, 213063854272 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 13063854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977993984).

13063854272 is an abundant number, since it is smaller than the sum of its proper divisors (20892133696).

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

13063854272 is a wasteful number, since it uses less digits than its factorization.

13063854272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 13063854272 in words is "thirteen billion, sixty-three million, eight hundred fifty-four thousand, two hundred seventy-two".