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216467414150 = 252137915832663
BaseRepresentation
bin1100100110011001110…
…1101001110010000110
3202200201222121222222012
43021212131221302012
512021311124223100
6243235503534222
721432156442541
oct3114635516206
9680658558865
10216467414150
1183892237189
1235b525ba372
1317549b8b510
14a697165858
15596dee8135
hex3266769c86

216467414150 has 96 divisors (see below), whose sum is σ = 439531868160. Its totient is φ = 78835236480.

The previous prime is 216467414101. The next prime is 216467414221. The reversal of 216467414150 is 51414764612.

216467414150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216467414098 and 216467414107.

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 47 ways as a sum of consecutive naturals, for example, 81285719 + ... + 81288381.

It is an arithmetic number, because the mean of its divisors is an integer number (4578456960).

Almost surely, 2216467414150 is an apocalyptic number.

216467414150 is an abundant number, since it is smaller than the sum of its proper divisors (223064454010).

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

216467414150 is a wasteful number, since it uses less digits than its factorization.

216467414150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 216467414150 in words is "two hundred sixteen billion, four hundred sixty-seven million, four hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 79 130 158 325 395 650 790 1027 1583 1975 2054 2663 3166 3950 5135 5326 7915 10270 13315 15830 20579 25675 26630 34619 39575 41158 51350 66575 69238 79150 102895 125057 133150 173095 205790 210377 250114 346190 420754 514475 625285 865475 1028950 1051885 1250570 1625741 1730950 2103770 2734901 3126425 3251482 4215529 5259425 5469802 6252850 8128705 8431058 10518850 13674505 16257410 21077645 27349010 40643525 42155290 54801877 68372525 81287050 105388225 109603754 136745050 210776450 274009385 333026791 548018770 666053582 1370046925 1665133955 2740093850 3330267910 4329348283 8325669775 8658696566 16651339550 21646741415 43293482830 108233707075 216467414150