Search a number
-
+
106663015136 = 2517196071719
BaseRepresentation
bin110001101010110011…
…1000111001011100000
3101012022112021120201002
41203111213013023200
53221421212441021
6121000022331132
710464131445416
oct1432547071340
9335275246632
10106663015136
1141265544a87
1218809289aa8
13a09b068552
14523bd3b2b6
152b9418b50b
hex18d59c72e0

106663015136 has 24 divisors (see below), whose sum is σ = 222345330480. Its totient is φ = 50194359808.

The previous prime is 106663015133. The next prime is 106663015139. The reversal of 106663015136 is 631510366601.

It is a happy number.

106663015136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106663015133) and next prime (106663015139).

It is a super-2 number, since 2×1066630151362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106663015136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663015133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98035316 + ... + 98036403.

It is an arithmetic number, because the mean of its divisors is an integer number (9264388770).

Almost surely, 2106663015136 is an apocalyptic number.

106663015136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106663015136 is an abundant number, since it is smaller than the sum of its proper divisors (115682315344).

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

106663015136 is a wasteful number, since it uses less digits than its factorization.

106663015136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196071746 (or 196071738 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 106663015136 in words is "one hundred six billion, six hundred sixty-three million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 196071719 392143438 784286876 1568573752 3137147504 3333219223 6274295008 6666438446 13332876892 26665753784 53331507568 106663015136