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214163243552 = 25177117332051
BaseRepresentation
bin1100011101110100011…
…1111100001000100000
3202110210101221000010102
43013131013330020200
512002101242243202
6242215113321532
721321110351156
oct3073507741040
9673711830112
10214163243552
118290a627765
123560aa062a8
13172706b5c6b
14a51912d3d6
155886aa0d02
hex31dd1fc220

214163243552 has 96 divisors (see below), whose sum is σ = 455354815104. Its totient is φ = 98785792000.

The previous prime is 214163243519. The next prime is 214163243561. The reversal of 214163243552 is 255342361412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6665927 + ... + 6697977.

It is an arithmetic number, because the mean of its divisors is an integer number (4743279324).

Almost surely, 2214163243552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214163243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227677407552).

214163243552 is an abundant number, since it is smaller than the sum of its proper divisors (241191571552).

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

214163243552 is a wasteful number, since it uses less digits than its factorization.

214163243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32322 (or 32314 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The spelling of 214163243552 in words is "two hundred fourteen billion, one hundred sixty-three million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 173 272 284 346 544 568 692 1136 1207 1384 2272 2414 2768 2941 4828 5536 5882 9656 11764 12283 19312 23528 24566 32051 38624 47056 49132 64102 94112 98264 128204 196528 208811 256408 393056 417622 512816 544867 835244 1025632 1089734 1670488 2179468 2275621 3340976 4358936 4551242 5544823 6681952 8717872 9102484 11089646 17435744 18204968 22179292 36409936 38685557 44358584 72819872 77371114 88717168 94261991 154742228 177434336 188523982 309484456 377047964 393682433 618968912 754095928 787364866 1237937824 1508191856 1574729732 3016383712 3149459464 6298918928 6692601361 12597837856 13385202722 26770405444 53540810888 107081621776 214163243552