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214462180116 = 2237191290293
BaseRepresentation
bin1100011110111011110…
…0010010101100010100
3202111120020102120000000
43013232330102230110
512003204304230431
6242304512451300
721331400311302
oct3075674225424
9674506376000
10214462180116
1182a53345178
1235692b49b30
13172ba6009c2
14a546b07272
1558a2e4e9e6
hex31eef12b14

214462180116 has 96 divisors (see below), whose sum is σ = 592503004800. Its totient is φ = 67724846496.

The previous prime is 214462180061. The next prime is 214462180129. The reversal of 214462180116 is 611081264412.

214462180116 is a `hidden beast` number, since 2 + 1 + 4 + 462 + 1 + 80 + 116 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478935 + ... + 811358.

It is an arithmetic number, because the mean of its divisors is an integer number (6171906300).

Almost surely, 2214462180116 is an apocalyptic number.

It is an amenable number.

214462180116 is an abundant number, since it is smaller than the sum of its proper divisors (378040824684).

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

214462180116 is a wasteful number, since it uses less digits than its factorization.

214462180116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290337 (or 1290317 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 214462180116 in words is "two hundred fourteen billion, four hundred sixty-two million, one hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 2052 2187 2916 3078 4374 4617 6156 8748 9234 13851 18468 27702 41553 55404 83106 166212 1290293 2580586 3870879 5161172 7741758 11612637 15483516 23225274 24515567 34837911 46450548 49031134 69675822 73546701 98062268 104513733 139351644 147093402 209027466 220640103 294186804 313541199 418054932 441280206 627082398 661920309 882560412 940623597 1254164796 1323840618 1881247194 1985760927 2647681236 2821870791 3762494388 3971521854 5643741582 5957282781 7943043708 11287483164 11914565562 17871848343 23829131124 35743696686 53615545029 71487393372 107231090058 214462180116