Search a number
-
+
645319061184 = 26378312794523
BaseRepresentation
bin10010110010000000000…
…00110110111011000000
32021200200101122220012210
421121000000312323000
541033103134424214
61212242215022120
764423415341560
oct11310000667300
92250611586183
10645319061184
11229750871a76
12a509806a940
1348b129b1445
142333b048da0
1511bbd7d2b59
hex9640036ec0

645319061184 has 224 divisors, whose sum is σ = 1976812830720. Its totient is φ = 181972804608.

The previous prime is 645319061171. The next prime is 645319061203. The reversal of 645319061184 is 481160913546.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142672747 + ... + 142677269.

It is an arithmetic number, because the mean of its divisors is an integer number (8825057280).

Almost surely, 2645319061184 is an apocalyptic number.

645319061184 is a gapful number since it is divisible by the number (64) 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 645319061184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988406415360).

645319061184 is an abundant number, since it is smaller than the sum of its proper divisors (1331493769536).

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

645319061184 is a wasteful number, since it uses less digits than its factorization.

645319061184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 645319061184 in words is "six hundred forty-five billion, three hundred nineteen million, sixty-one thousand, one hundred eighty-four".