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214916994090 = 23354318511369
BaseRepresentation
bin1100100000101000001…
…1010001010000101010
3202112201221020111111000
43020022003101100222
512010122222302330
6242422001015430
721345562210461
oct3101203212052
9675657214430
10214916994090
1183167049697
123579b324576
13173608c48b6
14a58b2999d8
1558ccd3e560
hex320a0d142a

214916994090 has 64 divisors (see below), whose sum is σ = 586440201600. Its totient is φ = 55978376832.

The previous prime is 214916994077. The next prime is 214916994139. The reversal of 214916994090 is 90499619412.

214916994090 is a `hidden beast` number, since 2 + 1 + 491 + 69 + 9 + 4 + 0 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9244075 + ... + 9267294.

It is an arithmetic number, because the mean of its divisors is an integer number (9163128150).

Almost surely, 2214916994090 is an apocalyptic number.

214916994090 is an abundant number, since it is smaller than the sum of its proper divisors (371523207510).

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

214916994090 is a wasteful number, since it uses less digits than its factorization.

214916994090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18511428 (or 18511422 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 214916994090 in words is "two hundred fourteen billion, nine hundred sixteen million, nine hundred ninety-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 18511369 37022738 55534107 92556845 111068214 166602321 185113690 277670535 333204642 499806963 555341070 795988867 833011605 999613926 1591977734 1666023210 2387966601 2499034815 3979944335 4775933202 4998069630 7163899803 7959888670 11939833005 14327799606 21491699409 23879666010 35819499015 42983398818 71638998030 107458497045 214916994090