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214616163640 = 23519282389689
BaseRepresentation
bin1100011111100000011…
…1101100010100111000
3202111221222011201200111
43013320013230110320
512004013214214030
6242332053114104
721335250201664
oct3077007542470
9674858151614
10214616163640
118302225828a
1235716628934
1317313495b08
14a55d34b8a4
1558b171962a
hex31f81ec538

214616163640 has 32 divisors (see below), whose sum is σ = 508301442000. Its totient is φ = 81328230144.

The previous prime is 214616163617. The next prime is 214616163661. The reversal of 214616163640 is 46361616412.

It is a happy number.

214616163640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 214616163593 and 214616163602.

It is a congruent number.

It is an unprimeable number.

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, 141194085 + ... + 141195604.

Almost surely, 2214616163640 is an apocalyptic number.

214616163640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214616163640 is an abundant number, since it is smaller than the sum of its proper divisors (293685278360).

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

214616163640 is a wasteful number, since it uses less digits than its factorization.

214616163640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282389719 (or 282389715 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 214616163640 in words is "two hundred fourteen billion, six hundred sixteen million, one hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 282389689 564779378 1129558756 1411948445 2259117512 2823896890 5365404091 5647793780 10730808182 11295587560 21461616364 26827020455 42923232728 53654040910 107308081820 214616163640