Search a number
-
+
107066917344 = 2531115280389
BaseRepresentation
bin110001110110110101…
…1111000000111100000
3101020100200021221101010
41203231223320013200
53223233112323334
6121104051340520
710510134532032
oct1435553700740
9336320257333
10107066917344
1141452535762
12189005b1740
13a13394503a
145279839c52
152bb98710e9
hex18edaf81e0

107066917344 has 24 divisors (see below), whose sum is σ = 281050658280. Its totient is φ = 35688972416.

The previous prime is 107066917339. The next prime is 107066917357. The reversal of 107066917344 is 443719660701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1070669173442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 107066917293 and 107066917302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557640099 + ... + 557640290.

It is an arithmetic number, because the mean of its divisors is an integer number (11710444095).

Almost surely, 2107066917344 is an apocalyptic number.

It is an amenable number.

107066917344 is an abundant number, since it is smaller than the sum of its proper divisors (173983740936).

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

107066917344 is a wasteful number, since it uses less digits than its factorization.

107066917344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115280402 (or 1115280394 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 107066917344 in words is "one hundred seven billion, sixty-six million, nine hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1115280389 2230560778 3345841167 4461121556 6691682334 8922243112 13383364668 17844486224 26766729336 35688972448 53533458672 107066917344