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22783813076340 = 22325314278795429
BaseRepresentation
bin1010010111000110001010…
…00101011100010101110100
32222200010000002220011202100
411023203011011130111310
510441242222121420330
6120242423401342100
74541035061525511
oct513430505342564
988603002804670
1022783813076340
117294619566258
12267b7a4a97930
13c936730b2124
1458aa57364308
152979d503a060
hex14b8c515c574

22783813076340 has 144 divisors (see below), whose sum is σ = 71342698452480. Its totient is φ = 5879494667520.

The previous prime is 22783813076273. The next prime is 22783813076467. The reversal of 22783813076340 is 4367031838722.

22783813076340 is a `hidden beast` number, since 2 + 2 + 78 + 38 + 130 + 76 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238703746 + ... + 238799174.

It is an arithmetic number, because the mean of its divisors is an integer number (495435405920).

Almost surely, 222783813076340 is an apocalyptic number.

22783813076340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22783813076340 is an abundant number, since it is smaller than the sum of its proper divisors (48558885376140).

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

22783813076340 is a wasteful number, since it uses less digits than its factorization.

22783813076340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138262 (or 138257 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 22783813076340 in words is "twenty-two trillion, seven hundred eighty-three billion, eight hundred thirteen million, seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 42787 85574 95429 128361 171148 190858 213935 256722 286287 381716 385083 427870 477145 513444 572574 641805 770166 855740 858861 954290 1145148 1283610 1326397 1431435 1540332 1717722 1908580 1925415 2567220 2652794 2862870 2958299 3435444 3850830 3979191 4294305 5305588 5725740 5916598 6631985 7701660 7958382 8588610 8874897 11833196 11937573 13263970 14791495 15916764 17177220 17749794 19895955 23875146 26527940 26624691 29582990 35499588 39791910 44374485 47750292 53249382 59165980 59687865 79583820 88748970 106498764 119375730 133123455 177497940 238751460 266246910 532493820 4083120623 8166241246 12249361869 16332482492 20415603115 24498723738 36748085607 40831206230 48997447476 61246809345 73496171214 81662412460 122493618690 126576739313 146992342428 183740428035 244987237380 253153478626 367480856070 379730217939 506306957252 632883696565 734961712140 759460435878 1139190653817 1265767393130 1518920871756 1898651089695 2278381307634 2531534786260 3797302179390 4556762615268 5695953269085 7594604358780 11391906538170 22783813076340