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13166641632 = 253450730431
BaseRepresentation
bin11000100001100101…
…10000000111100000
31020222121100200210210
430100302300013200
5203431130013012
610014302454120
7644165415204
oct142062600740
936877320723
1013166641632
115647253811
122675594340
13131aa79511
148cc946b04
15520dbc23c
hex310cb01e0

13166641632 has 48 divisors (see below), whose sum is σ = 34571238912. Its totient is φ = 4387762560.

The previous prime is 13166641619. The next prime is 13166641637. The reversal of 13166641632 is 23614666131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13166641637) 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, 417457 + ... + 447887.

It is an arithmetic number, because the mean of its divisors is an integer number (720234144).

Almost surely, 213166641632 is an apocalyptic number.

13166641632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13166641632 is an abundant number, since it is smaller than the sum of its proper divisors (21404597280).

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

13166641632 is a wasteful number, since it uses less digits than its factorization.

13166641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34951 (or 34943 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The spelling of 13166641632 in words is "thirteen billion, one hundred sixty-six million, six hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4507 9014 13521 18028 27042 30431 36056 54084 60862 72112 91293 108168 121724 144224 182586 216336 243448 365172 432672 486896 730344 973792 1460688 2921376 137152517 274305034 411457551 548610068 822915102 1097220136 1645830204 2194440272 3291660408 4388880544 6583320816 13166641632