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213164050824 = 23323195503607
BaseRepresentation
bin1100011010000110010…
…0010100100110001000
3202101012202202202101100
43012201210110212020
511443024444111244
6241532021221400
721254255351634
oct3064144244610
9671182682340
10213164050824
118244760544a
1235390261860
131714169c36a
14a462551dc4
155828ecdb69
hex31a1914988

213164050824 has 48 divisors (see below), whose sum is σ = 595942513920. Its totient is φ = 68762596320.

The previous prime is 213164050823. The next prime is 213164050829. The reversal of 213164050824 is 428050461312.

It is a happy number.

213164050824 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 640 + 5 + 0 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213164050823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47749572 + ... + 47754035.

It is an arithmetic number, because the mean of its divisors is an integer number (12415469040).

Almost surely, 2213164050824 is an apocalyptic number.

213164050824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213164050824 is an abundant number, since it is smaller than the sum of its proper divisors (382778463096).

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

213164050824 is a wasteful number, since it uses less digits than its factorization.

213164050824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95503650 (or 95503643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 213164050824 in words is "two hundred thirteen billion, one hundred sixty-four million, fifty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 95503607 191007214 286510821 382014428 573021642 764028856 859532463 1146043284 1719064926 2292086568 2960611817 3438129852 5921223634 6876259704 8881835451 11842447268 17763670902 23684894536 26645506353 35527341804 53291012706 71054683608 106582025412 213164050824