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13467834601 = 1327921132
BaseRepresentation
bin11001000101011111…
…01101100011101001
31021202121002212212221
430202233231203221
5210040231201401
610104222234041
7654513463624
oct144257554351
937677085787
1013467834601
115791272521
12273a425921
1313682a4300
1491a94adbb
1553c5647a1
hex322bed8e9

13467834601 has 27 divisors (see below), whose sum is σ = 14902320069. Its totient is φ = 12165858432.

The previous prime is 13467834577. The next prime is 13467834607. The reversal of 13467834601 is 10643876431.

The square root of 13467834601 is 116051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10050263001 + 3417571600 = 100251^2 + 58460^2 .

It is not a de Polignac number, because 13467834601 - 215 = 13467801833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13467834607) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 119184321 + ... + 119184433.

Almost surely, 213467834601 is an apocalyptic number.

13467834601 is the 116051-st square number.

13467834601 is the 58026-th centered octagonal number.

It is an amenable number.

13467834601 is a deficient number, since it is larger than the sum of its proper divisors (1434485468).

13467834601 is an frugal number, since it uses more digits than its factorization.

13467834601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 13467834601 in words is "thirteen billion, four hundred sixty-seven million, eight hundred thirty-four thousand, six hundred one".

Divisors: 1 13 79 113 169 1027 1469 6241 8927 12769 13351 19097 81133 116051 165997 705233 1008751 1054729 1508663 2157961 9168029 13113763 79691329 119184377 170478919 1035987277 13467834601