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133216388568 = 233219433224897
BaseRepresentation
bin111110000010001010…
…0001100010111011000
3110201212002010201021100
41330010110030113120
54140311343413233
6141110533311400
712424140422334
oct1740424142730
9421762121240
10133216388568
11515511a64aa
1221999a95560
13c740360a33
14663a71c7c4
1536ea3ec813
hex1f0450c5d8

133216388568 has 96 divisors (see below), whose sum is σ = 380662354800. Its totient is φ = 41970991104.

The previous prime is 133216388531. The next prime is 133216388611. The reversal of 133216388568 is 865883612331.

133216388568 is a `hidden beast` number, since 1 + 3 + 32 + 16 + 38 + 8 + 568 = 666.

It is a super-2 number, since 2×1332163885682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479896 + ... + 704792.

Almost surely, 2133216388568 is an apocalyptic number.

133216388568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133216388568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190331177400).

133216388568 is an abundant number, since it is smaller than the sum of its proper divisors (247445966232).

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

133216388568 is a wasteful number, since it uses less digits than its factorization.

133216388568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225361 (or 225354 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 133216388568 in words is "one hundred thirty-three billion, two hundred sixteen million, three hundred eighty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 433 456 684 866 1299 1368 1732 2598 3464 3897 5196 7794 8227 10392 15588 16454 24681 31176 32908 49362 65816 74043 98724 148086 197448 224897 296172 449794 592344 674691 899588 1349382 1799176 2024073 2698764 4048146 4273043 5397528 8096292 8546086 12819129 16192584 17092172 25638258 34184344 38457387 51276516 76914774 97380401 102553032 153829548 194760802 292141203 307659096 389521604 584282406 779043208 876423609 1168564812 1752847218 1850227619 2337129624 3505694436 3700455238 5550682857 7011388872 7400910476 11101365714 14801820952 16652048571 22202731428 33304097142 44405462856 66608194284 133216388568