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214214074991 = 7891931781569
BaseRepresentation
bin1100011110000000100…
…1110110001001101111
3202110220221120111202022
43013200021312021233
512002202300344431
6242224131020355
721322265410610
oct3074011661157
9673827514668
10214214074991
1182936296114
1235623a3a6bb
131727b0a2937
14a521ba1c07
15588b29207b
hex31e027626f

214214074991 has 16 divisors (see below), whose sum is σ = 248849697600. Its totient is φ = 180608237568.

The previous prime is 214214074979. The next prime is 214214074993. The reversal of 214214074991 is 199470412412.

214214074991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214214074991 - 218 = 214213812847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214214074993) 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 15 ways as a sum of consecutive naturals, for example, 770546 + ... + 1011023.

It is an arithmetic number, because the mean of its divisors is an integer number (15553106100).

Almost surely, 2214214074991 is an apocalyptic number.

214214074991 is a deficient number, since it is larger than the sum of its proper divisors (34635622609).

214214074991 is a wasteful number, since it uses less digits than its factorization.

214214074991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781858.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 214214074991 in words is "two hundred fourteen billion, two hundred fourteen million, seventy-four thousand, nine hundred ninety-one".

Divisors: 1 7 89 193 623 1351 17177 120239 1781569 12470983 158559641 343842817 1109917487 2406899719 30602010713 214214074991