Search a number
-
+
122604365044050 = 23523143881695999
BaseRepresentation
bin11011111000001000001101…
…101000000101100101010010
3121002002212022000002011010220
4123320020031220011211102
5112032222214422402200
61112431400122133510
734552605313616211
oct3370101550054522
9532085260064126
10122604365044050
113607a24586180a
1211901669951296
135354707a62836
14223c1237bd078
15e2934a7d24a0
hex6f820da05952

122604365044050 has 192 divisors, whose sum is σ = 321531420672000. Its totient is φ = 30868903296000.

The previous prime is 122604365044039. The next prime is 122604365044141. The reversal of 122604365044050 is 50440563406221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122604365043993 and 122604365044011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175807951 + ... + 176503949.

It is an arithmetic number, because the mean of its divisors is an integer number (1674642816000).

Almost surely, 2122604365044050 is an apocalyptic number.

122604365044050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122604365044050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160765710336000).

122604365044050 is an abundant number, since it is smaller than the sum of its proper divisors (198927055627950).

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

122604365044050 is a wasteful number, since it uses less digits than its factorization.

122604365044050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696969 (or 696964 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 122604365044050 in words is "one hundred twenty-two trillion, six hundred four billion, three hundred sixty-five million, forty-four thousand, fifty".