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212891596016 = 241110491153109
BaseRepresentation
bin1100011001000101010…
…0111111010011110000
3202100111210002121122112
43012101110333103300
511442000222033031
6241445005424452
721244436465021
oct3062124772360
9670453077575
10212891596016
1182317835090
1235314b6b128
13170ca0c70b8
14a4382acc48
15581011162b
hex319153f4f0

212891596016 has 40 divisors (see below), whose sum is σ = 450404766000. Its totient is φ = 96676574720.

The previous prime is 212891596013. The next prime is 212891596031. The reversal of 212891596016 is 610695198212.

212891596016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212891596013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391931 + ... + 761178.

It is an arithmetic number, because the mean of its divisors is an integer number (11260119150).

Almost surely, 2212891596016 is an apocalyptic number.

It is an amenable number.

212891596016 is an abundant number, since it is smaller than the sum of its proper divisors (237513169984).

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

212891596016 is a wasteful number, since it uses less digits than its factorization.

212891596016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154177 (or 1154171 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 50.

The spelling of 212891596016 in words is "two hundred twelve billion, eight hundred ninety-one million, five hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 1049 2098 4196 8392 11539 16784 23078 46156 92312 184624 1153109 2306218 4612436 9224872 12684199 18449744 25368398 50736796 101473592 202947184 1209611341 2419222682 4838445364 9676890728 13305724751 19353781456 26611449502 53222899004 106445798008 212891596016