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3332866476996 = 223472144892
BaseRepresentation
bin110000011111111110010…
…100101000101111000100
3102210121201012021022210000
4300133332110220233010
5414101202304230441
611031033035201300
7462535352425200
oct60377624505704
912717635238700
103332866476996
111075508269661
12459b222a6230
131b2398857c24
14b745104db00
155ba674e82b6
hex307fe528bc4

3332866476996 has 135 divisors (see below), whose sum is σ = 10135964153469. Its totient is φ = 952181842752.

The previous prime is 3332866476959. The next prime is 3332866477043. The reversal of 3332866476996 is 6996746682333.

The square root of 3332866476996 is 1825614.

It is a perfect power (a square), and thus also a powerful number.

3332866476996 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 8 + 66 + 476 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 482171916996 + 2850694560000 = 694386^2 + 1688400^2 .

It is a super-2 number, since 2×33328664769962 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 230020120 + ... + 230034608.

Almost surely, 23332866476996 is an apocalyptic number.

3332866476996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3332866476996 is the 1825614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332866476996

3332866476996 is an abundant number, since it is smaller than the sum of its proper divisors (6803097676473).

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

3332866476996 is an frugal number, since it uses more digits than its factorization.

3332866476996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29008 (or 14501 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 72.

The spelling of 3332866476996 in words is "three trillion, three hundred thirty-two billion, eight hundred sixty-six million, four hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 14489 15876 28978 43467 57956 86934 101423 130401 173868 202846 260802 304269 391203 405692 521604 608538 709961 782406 912807 1173609 1217076 1419922 1564812 1825614 2129883 2347218 2738421 2839844 3651228 4259766 4694436 5476842 6389649 8215263 8519532 10953684 12779298 16430526 19168947 25558596 32861052 38337894 57506841 76675788 115013682 209931121 230027364 419862242 629793363 839724484 1259586726 1469517847 1889380089 2519173452 2939035694 3778760178 4408553541 5668140267 5878071388 7557520356 8817107082 10286624929 11336280534 13225660623 17004420801 17634214164 20573249858 22672561068 26451321246 30859874787 34008841602 39676981869 41146499716 52902642492 61719749574 68017683204 79353963738 92579624361 119030945607 123439499148 158707927476 185159248722 238061891214 277738873083 370318497444 476123782428 555477746166 833216619249 1110955492332 1666433238498 3332866476996