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13234606576 = 242960147459
BaseRepresentation
bin11000101001101100…
…00001000111110000
31021011100020200011221
430110312001013300
5204101024402301
610025131314424
7645652204552
oct142466010760
937140220157
1013234606576
115681654894
1226942aba14
13132bb84969
148d79994d2
15526d44da1
hex314d811f0

13234606576 has 40 divisors (see below), whose sum is σ = 26570955600. Its totient is φ = 6378355200.

The previous prime is 13234606529. The next prime is 13234606577. The reversal of 13234606576 is 67560643231.

It is a super-2 number, since 2×132346065762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234606577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255135 + ... + 302593.

It is an arithmetic number, because the mean of its divisors is an integer number (664273890).

Almost surely, 213234606576 is an apocalyptic number.

13234606576 is a gapful number since it is divisible by the number (16) 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 13234606576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285477800).

13234606576 is an abundant number, since it is smaller than the sum of its proper divisors (13336349024).

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

13234606576 is a wasteful number, since it uses less digits than its factorization.

13234606576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48097 (or 48091 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 13234606576 in words is "thirteen billion, two hundred thirty-four million, six hundred six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 601 1202 2404 4808 9616 17429 34858 47459 69716 94918 139432 189836 278864 379672 759344 1376311 2752622 5505244 11010488 22020976 28522859 57045718 114091436 228182872 456365744 827162911 1654325822 3308651644 6617303288 13234606576