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213126807384 = 23324436681929
BaseRepresentation
bin1100011001111101011…
…0001111111101011000
3202101010011200120222200
43012133112033331120
511442440430314014
6241524211050200
721253323654321
oct3063726177530
9671104616880
10213126807384
1182428587947
123537b8a0960
1317136a5c41a
14a45b619448
155825ac3a09
hex319f58ff58

213126807384 has 48 divisors (see below), whose sum is σ = 578521499400. Its totient is φ = 70881892224.

The previous prime is 213126807379. The next prime is 213126807409. The reversal of 213126807384 is 483708621312.

213126807384 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 268 + 0 + 7 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3309069 + ... + 3372860.

Almost surely, 2213126807384 is an apocalyptic number.

213126807384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213126807384 is an abundant number, since it is smaller than the sum of its proper divisors (365394692016).

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

213126807384 is a wasteful number, since it uses less digits than its factorization.

213126807384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682384 (or 6682377 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 213126807384 in words is "two hundred thirteen billion, one hundred twenty-six million, eight hundred seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 443 886 1329 1772 2658 3544 3987 5316 7974 10632 15948 31896 6681929 13363858 20045787 26727716 40091574 53455432 60137361 80183148 120274722 160366296 240549444 481098888 2960094547 5920189094 8880283641 11840378188 17760567282 23680756376 26640850923 35521134564 53281701846 71042269128 106563403692 213126807384