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132813822788244 = 22321322710871150117
BaseRepresentation
bin11110001100101100100000…
…101110101000001010010100
3122102020212200200000021110200
4132030230200232220022110
5114402010202113210434
61150245454453420500
736655324224603663
oct3614544056501224
9572225620007420
10132813822788244
1139356031573144
1212a9026063a730
13591539c769060
1424b231ab1adda
151054bd4144199
hex78cb20ba8294

132813822788244 has 144 divisors (see below), whose sum is σ = 363475858357248. Its totient is φ = 40648301362944.

The previous prime is 132813822788243. The next prime is 132813822788263. The reversal of 132813822788244 is 442887228318231.

132813822788244 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 382 + 2 + 7 + 8 + 8 + 244 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132813822788243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114903474 + ... + 116053590.

Almost surely, 2132813822788244 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 132813822788244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181737929178624).

132813822788244 is an abundant number, since it is smaller than the sum of its proper divisors (230662035569004).

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

132813822788244 is a wasteful number, since it uses less digits than its factorization.

132813822788244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151454 (or 1151449 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 132813822788244 in words is "one hundred thirty-two trillion, eight hundred thirteen billion, eight hundred twenty-two million, seven hundred eighty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 227 234 454 468 681 908 1087 1362 2043 2174 2724 2951 3261 4086 4348 5902 6522 8172 8853 9783 11804 13044 14131 17706 19566 26559 28262 35412 39132 42393 53118 56524 84786 106236 127179 169572 246749 254358 493498 508716 740247 986996 1150117 1480494 2220741 2300234 2960988 3207737 3450351 4441482 4600468 6415474 6900702 8882964 9623211 10351053 12830948 13801404 14951521 19246422 20702106 28869633 29903042 38492844 41404212 44854563 57739266 59806084 89709126 115478532 134563689 179418252 261076559 269127378 522153118 538254756 783229677 1044306236 1250177179 1566459354 2349689031 2500354358 3132918708 3393995267 3750531537 4699378062 5000708716 6787990534 7501063074 9398756124 10181985801 11251594611 13575981068 15002126148 16252303327 20363971602 22503189222 30545957403 32504606654 40727943204 45006378444 48756909981 61091914806 65009213308 97513819962 122183829612 146270729943 195027639924 283790219633 292541459886 567580439266 585082919772 851370658899 1135160878532 1702741317798 2554111976697 3405482635596 3689272855229 5108223953394 7378545710458 10216447906788 11067818565687 14757091420916 22135637131374 33203455697061 44271274262748 66406911394122 132813822788244