Search a number
-
+
2069070396624 = 2433711229194989
BaseRepresentation
bin11110000110111110001…
…101001011110011010000
321022210122001222112202000
4132012332031023303100
5232344424010142444
64222303503154000
7302325331121550
oct36067615136320
97283561875660
102069070396624
11728540331100
12294bbb5a5900
1312016021ba4a
1472201c41160
1538c4bbb5469
hex1e1be34bcd0

2069070396624 has 480 divisors, whose sum is σ = 7717860192000. Its totient is φ = 518886466560.

The previous prime is 2069070396583. The next prime is 2069070396641. The reversal of 2069070396624 is 4266930709602.

2069070396624 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 0 + 7 + 0 + 3 + 9 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 10513722 + ... + 10708710.

It is an arithmetic number, because the mean of its divisors is an integer number (16078875400).

Almost surely, 22069070396624 is an apocalyptic number.

2069070396624 is a gapful number since it is divisible by the number (24) 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 2069070396624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858930096000).

2069070396624 is an abundant number, since it is smaller than the sum of its proper divisors (5648789795376).

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

2069070396624 is a wasteful number, since it uses less digits than its factorization.

2069070396624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195064 (or 195041 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2069070396624 in words is "two trillion, sixty-nine billion, seventy million, three hundred ninety-six thousand, six hundred twenty-four".