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20262045774330 = 2335367229789021
BaseRepresentation
bin1001001101101101000000…
…00010100111000111111010
32122202000212210211002201000
410212312200002213013322
510123433132204234310
6111032131052305430
74160612245243143
oct446664002470772
978660783732630
1020262045774330
1165020a3677888
122332b06172276
13b3c919b43339
1450098c7a4aca
152520e04634c0
hex126da00a71fa

20262045774330 has 128 divisors (see below), whose sum is σ = 54203544437760. Its totient is φ = 5386083171840.

The previous prime is 20262045774319. The next prime is 20262045774449. The reversal of 20262045774330 is 3347754026202.

20262045774330 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 2 + 0 + 4 + 577 + 43 + 30 = 666.

It is a super-2 number, since 2×202620457743302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227565220 + ... + 227654240.

It is an arithmetic number, because the mean of its divisors is an integer number (423465190920).

Almost surely, 220262045774330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20262045774330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101772218880).

20262045774330 is an abundant number, since it is smaller than the sum of its proper divisors (33941498663430).

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

20262045774330 is a wasteful number, since it uses less digits than its factorization.

20262045774330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91701 (or 91695 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 20262045774330 in words is "twenty trillion, two hundred sixty-two billion, forty-five million, seven hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 367 734 1101 1835 2202 2297 3303 3670 4594 5505 6606 6891 9909 11010 11485 13782 16515 19818 20673 22970 33030 34455 41346 49545 62019 68910 89021 99090 103365 124038 178042 206730 267063 310095 445105 534126 620190 801189 842999 890210 1335315 1602378 1685998 2403567 2528997 2670630 4005945 4214995 4807134 5057994 7586991 8011890 8429990 12017835 12644985 15173982 22760973 24035670 25289970 32670707 37934955 45521946 65341414 75869910 98012121 113804865 163353535 196024242 204481237 227609730 294036363 326707070 408962474 490060605 588072726 613443711 882109089 980121210 1022406185 1226887422 1470181815 1764218178 1840331133 2044812370 2940363630 3067218555 3680662266 4410545445 5520993399 6134437110 8821090890 9201655665 11041986798 18403311330 27604966995 55209933990 75044613979 150089227958 225133841937 375223069895 450267683874 675401525811 750446139790 1125669209685 1350803051622 2026204577433 2251338419370 3377007629055 4052409154866 6754015258110 10131022887165 20262045774330