Search a number
-
+
13642778300 = 2252465129333
BaseRepresentation
bin11001011010010110…
…00100011010111100
31022012210021221112012
430231023010122330
5210420022401200
610133432030352
7662036462564
oct145513043274
938183257465
1013642778300
115870aa1298
122788b323b8
1313955c78a8
14935c89da4
1554cabea35
hex32d2c46bc

13642778300 has 36 divisors (see below), whose sum is σ = 29612203656. Its totient is φ = 5455752000.

The previous prime is 13642778293. The next prime is 13642778311. The reversal of 13642778300 is 387724631.

13642778300 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 2×136427783002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 450434 + ... + 479766.

Almost surely, 213642778300 is an apocalyptic number.

13642778300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642778300 is an abundant number, since it is smaller than the sum of its proper divisors (15969425356).

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

13642778300 is a wasteful number, since it uses less digits than its factorization.

13642778300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33998 (or 33991 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 13642778300 in words is "thirteen billion, six hundred forty-two million, seven hundred seventy-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4651 9302 18604 23255 29333 46510 58666 93020 116275 117332 146665 232550 293330 465100 586660 733325 1466650 2933300 136427783 272855566 545711132 682138915 1364277830 2728555660 3410694575 6821389150 13642778300