Search a number
-
+
106959865840 = 2451336998323
BaseRepresentation
bin110001110011101001…
…1100000011111110000
3101020002012212011022121
41203213103200133300
53223023211201330
6121045305044024
710504364600362
oct1434723403760
9336065764277
10106959865840
11413a8068343
1218890786614
13a117702a59
145269530d32
152bb027717a
hex18e74e07f0

106959865840 has 20 divisors (see below), whose sum is σ = 248681688264. Its totient is φ = 42783946304.

The previous prime is 106959865829. The next prime is 106959865847. The reversal of 106959865840 is 48568959601.

106959865840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1069598658402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106959865847) by changing a digit.

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, 668499082 + ... + 668499241.

Almost surely, 2106959865840 is an apocalyptic number.

106959865840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106959865840 is an abundant number, since it is smaller than the sum of its proper divisors (141721822424).

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

106959865840 is a wasteful number, since it uses less digits than its factorization.

106959865840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336998336 (or 1336998330 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 106959865840 in words is "one hundred six billion, nine hundred fifty-nine million, eight hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1336998323 2673996646 5347993292 6684991615 10695986584 13369983230 21391973168 26739966460 53479932920 106959865840