Search a number
-
+
13057230004 = 22713211324419
BaseRepresentation
bin11000010100100010…
…11000010010110100
31020200222111000021021
430022101120102310
5203220122330004
65555353430524
7641366423650
oct141221302264
936628430237
1013057230004
1155a0514185
122644a0b444
1313011bbc00
148bc1c5a60
155164a8d54
hex30a4584b4

13057230004 has 72 divisors (see below), whose sum is σ = 28529202240. Its totient is φ = 5119575552.

The previous prime is 13057229993. The next prime is 13057230031. The reversal of 13057230004 is 40003275031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 522507 + ... + 546925.

It is an arithmetic number, because the mean of its divisors is an integer number (396238920).

Almost surely, 213057230004 is an apocalyptic number.

13057230004 is a gapful number since it is divisible by the number (14) 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 13057230004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264601120).

13057230004 is an abundant number, since it is smaller than the sum of its proper divisors (15471972236).

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

13057230004 is a wasteful number, since it uses less digits than its factorization.

13057230004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24569 (or 24554 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The spelling of 13057230004 in words is "thirteen billion, fifty-seven million, two hundred thirty thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 169 182 226 338 364 452 676 791 1183 1469 1582 2366 2938 3164 4732 5876 10283 19097 20566 24419 38194 41132 48838 76388 97676 133679 170933 267358 317447 341866 534716 634894 683732 1269788 2222129 2759347 4126811 4444258 5518694 8253622 8888516 11037388 16507244 19315429 28887677 35871511 38630858 57775354 71743022 77261716 115550708 143486044 251100577 466329643 502201154 932659286 1004402308 1865318572 3264307501 6528615002 13057230004