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13764164308 = 22177325111047
BaseRepresentation
bin11001101000110100…
…00111101011010100
31022112020200222211021
430310122013223110
5211142111224213
610153445450524
7665042315626
oct146432075324
938466628737
1013764164308
11592356a404
122801710a44
1313b47b862b
14948046c16
1555859ad8d
hex334687ad4

13764164308 has 48 divisors (see below), whose sum is σ = 25958911104. Its totient is φ = 6362496000.

The previous prime is 13764164303. The next prime is 13764164311. The reversal of 13764164308 is 80346146731.

13764164308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137641643082 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764164303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240441 + ... + 1251487.

It is an arithmetic number, because the mean of its divisors is an integer number (540810648).

Almost surely, 213764164308 is an apocalyptic number.

It is an amenable number.

13764164308 is a deficient number, since it is larger than the sum of its proper divisors (12194746796).

13764164308 is a wasteful number, since it uses less digits than its factorization.

13764164308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11390 counting only the distinct ones).

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

The spelling of 13764164308 in words is "thirteen billion, seven hundred sixty-four million, one hundred sixty-four thousand, three hundred eight".

Divisors: 1 2 4 17 34 68 73 146 251 292 502 1004 1241 2482 4267 4964 8534 11047 17068 18323 22094 36646 44188 73292 187799 311491 375598 622982 751196 806431 1245964 1612862 2772797 3225724 5545594 11091188 13709327 27418654 47137549 54837308 94275098 188550196 202414181 404828362 809656724 3441041077 6882082154 13764164308