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13800132258 = 2311715929207
BaseRepresentation
bin11001101101000110…
…10100111010100010
31022121202101100120120
430312203110322202
5211230313213013
610201212421110
7665660121513
oct146643247242
938552340516
1013800132258
1159418a6690
122811777796
1313bc09cb43
1494cb2aa0a
1555b803123
hex3368d4ea2

13800132258 has 32 divisors (see below), whose sum is σ = 30114616320. Its totient is φ = 4181130960.

The previous prime is 13800132257. The next prime is 13800132289. The reversal of 13800132258 is 85223100831.

13800132258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13800132257) 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, 457891 + ... + 487097.

It is an arithmetic number, because the mean of its divisors is an integer number (941081760).

Almost surely, 213800132258 is an apocalyptic number.

13800132258 is an abundant number, since it is smaller than the sum of its proper divisors (16314484062).

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

13800132258 is a wasteful number, since it uses less digits than its factorization.

13800132258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36382.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13800132258 in words is "thirteen billion, eight hundred million, one hundred thirty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 7159 14318 21477 29207 42954 58414 78749 87621 157498 175242 236247 321277 472494 642554 963831 1927662 209092913 418185826 627278739 1254557478 2300022043 4600044086 6900066129 13800132258