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215014645116 = 223257259104309
BaseRepresentation
bin1100100000111111011…
…1110001110101111100
3202112222201222200111200
43020033313301311330
512010322222120431
6242435410015500
721351156220365
oct3101767616574
9675881880450
10215014645116
1183207186317
1235807b77590
1317377bc517b
14a59a238b6c
1558d66ccee6
hex320fdf1d7c

215014645116 has 36 divisors (see below), whose sum is σ = 543523944600. Its totient is φ = 71669609568.

The previous prime is 215014645063. The next prime is 215014645123. The reversal of 215014645116 is 611546410512.

215014645116 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 1 + 4 + 645 + 1 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2150146451162 (a number of 23 digits) contains 22 as substring.

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

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, 2009170 + ... + 2113478.

It is an arithmetic number, because the mean of its divisors is an integer number (15097887350).

Almost surely, 2215014645116 is an apocalyptic number.

It is an amenable number.

215014645116 is an abundant number, since it is smaller than the sum of its proper divisors (328509299484).

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

215014645116 is a wasteful number, since it uses less digits than its factorization.

215014645116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161578 (or 161573 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 215014645116 in words is "two hundred fifteen billion, fourteen million, six hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 57259 104309 114518 171777 208618 229036 312927 343554 417236 515331 625854 687108 938781 1030662 1251708 1877562 2061324 3755124 5972629031 11945258062 17917887093 23890516124 35835774186 53753661279 71671548372 107507322558 215014645116