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2099745607680 = 21234571931307
BaseRepresentation
bin11110100011100010100…
…101110101000000000000
321102201210212210201120000
4132203202211311000000
5233400234333421210
64244335415320000
7304462440116010
oct36434245650000
97381725721500
102099745607680
1173a5517231a6
1229ab40680000
1312300b4540c6
14738b1c0dc40
1539944c16ac0
hex1e8e2975000

2099745607680 has 2080 divisors, whose sum is σ = 9377654415360. Its totient is φ = 438581329920.

The previous prime is 2099745607679. The next prime is 2099745607697. The reversal of 2099745607680 is 867065479902.

2099745607680 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 7 + 4 + 560 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6839562087 + ... + 6839562393.

Almost surely, 22099745607680 is an apocalyptic number.

2099745607680 is a gapful number since it is divisible by the number (20) 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 2099745607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688827207680).

2099745607680 is an abundant number, since it is smaller than the sum of its proper divisors (7277908807680).

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

2099745607680 is a wasteful number, since it uses less digits than its factorization.

2099745607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2099745607680 in words is "two trillion, ninety-nine billion, seven hundred forty-five million, six hundred seven thousand, six hundred eighty".