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13764114532 = 2271758749261
BaseRepresentation
bin11001101000110011…
…11011100001100100
31022112020121110112201
430310121323201210
5211142103131112
610153444424244
7665042020540
oct146431734144
938466543481
1013764114532
115923535a73
1228016a8084
1313b479ba8c
14948032a20
1555858b257
hex33467b864

13764114532 has 48 divisors (see below), whose sum is σ = 29197784448. Its totient is φ = 5542341120.

The previous prime is 13764114523. The next prime is 13764114563. The reversal of 13764114532 is 23541146731.

It is a happy number.

13764114532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13764114491 and 13764114500.

It is an unprimeable number.

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, 254782 + ... + 304042.

It is an arithmetic number, because the mean of its divisors is an integer number (608287176).

Almost surely, 213764114532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764114532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598892224).

13764114532 is an abundant number, since it is smaller than the sum of its proper divisors (15433669916).

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

13764114532 is a wasteful number, since it uses less digits than its factorization.

13764114532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49876 (or 49874 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 13764114532 in words is "thirteen billion, seven hundred sixty-four million, one hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 587 1174 2348 4109 8218 9979 16436 19958 39916 49261 69853 98522 139706 197044 279412 344827 689654 837437 1379308 1674874 3349748 5862059 11724118 23448236 28916207 57832414 115664828 202413449 404826898 491575519 809653796 983151038 1966302076 3441028633 6882057266 13764114532