Search a number
-
+
845102149632 = 21238134159
BaseRepresentation
bin11000100110001000000…
…00110111000000000000
32222210100121210100000000
430103010000313000000
5102321232122242012
61444122400000000
7115025263514436
oct14230400670000
92883317710000
10845102149632
112a645114a324
12117953000000
13619010a4890
142cc903c4d56
1516eb2babddc
hexc4c4037000

845102149632 has 936 divisors, whose sum is σ = 2843837221680. Its totient is φ = 249389383680.

The previous prime is 845102149627. The next prime is 845102149637. The reversal of 845102149632 is 236941201548.

845102149632 is a `hidden beast` number, since 8 + 4 + 5 + 1 + 0 + 2 + 1 + 4 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (845102149627) and next prime (845102149637).

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845102149637) 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 71 ways as a sum of consecutive naturals, for example, 14323765219 + ... + 14323765277.

It is an arithmetic number, because the mean of its divisors is an integer number (3038287630).

Almost surely, 2845102149632 is an apocalyptic number.

845102149632 is a gapful number since it is divisible by the number (82) 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 845102149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421918610840).

845102149632 is an abundant number, since it is smaller than the sum of its proper divisors (1998735072048).

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

845102149632 is an frugal number, since it uses more digits than its factorization.

845102149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 845102149632 in words is "eight hundred forty-five billion, one hundred two million, one hundred forty-nine thousand, six hundred thirty-two".