Search a number
-
+
13693051008 = 2732713130619
BaseRepresentation
bin11001100000010101…
…10110000010000000
31022100021220001201100
430300022312002000
5211020410113013
610142425334400
7663220004340
oct146012660200
938307801640
1013693051008
11589740898a
1227a1937400
1313a2b4a160
1493c814d20
15552200473
hex3302b6080

13693051008 has 192 divisors, whose sum is σ = 48496593600. Its totient is φ = 3611326464.

The previous prime is 13693051003. The next prime is 13693051027. The reversal of 13693051008 is 80015039631.

It is a happy number.

13693051008 is a `hidden beast` number, since 136 + 9 + 3 + 0 + 510 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13693051003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39523 + ... + 170141.

It is an arithmetic number, because the mean of its divisors is an integer number (252586425).

Almost surely, 213693051008 is an apocalyptic number.

13693051008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13693051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24248296800).

13693051008 is an abundant number, since it is smaller than the sum of its proper divisors (34803542592).

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

13693051008 is a wasteful number, since it uses less digits than its factorization.

13693051008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130659 (or 130644 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13693051008 in words is "thirteen billion, six hundred ninety-three million, fifty-one thousand, eight".