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36274306050 = 23252378092693
BaseRepresentation
bin100001110010000111…
…011111110000000010
310110122000111200012200
4201302013133300002
51043242210243200
624355244134030
72422624341213
oct416207376002
9113560450180
1036274306050
111442499a034
127044237316
133561233928
141a8185d40a
15e24897800
hex8721dfc02

36274306050 has 144 divisors (see below), whose sum is σ = 100251875880. Its totient is φ = 9396587520.

The previous prime is 36274306027. The next prime is 36274306127. The reversal of 36274306050 is 5060347263.

36274306050 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 43 + 0 + 605 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13259292201 + 23015013849 = 115149^2 + 151707^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36274305996 and 36274306014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13468504 + ... + 13471196.

Almost surely, 236274306050 is an apocalyptic number.

36274306050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36274306050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125937940).

36274306050 is an abundant number, since it is smaller than the sum of its proper divisors (63977569830).

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

36274306050 is a wasteful number, since it uses less digits than its factorization.

36274306050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 36274306050 in words is "thirty-six billion, two hundred seventy-four million, three hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 809 925 1110 1618 1665 1850 2427 2693 2775 3330 4045 4854 5386 5550 7281 8079 8090 8325 12135 13465 14562 16158 16650 20225 24237 24270 26930 29933 36405 40395 40450 48474 59866 60675 67325 72810 80790 89799 99641 121185 121350 134650 149665 179598 182025 199282 201975 242370 269397 298923 299330 364050 403950 448995 498205 538794 597846 605925 748325 896769 897990 996410 1211850 1346985 1494615 1496650 1793538 2178637 2244975 2491025 2693970 2989230 4357274 4483845 4489950 4982050 6535911 6734925 7473075 8967690 10893185 13071822 13469850 14946150 19607733 21786370 22419225 32679555 39215466 44838450 54465925 65359110 80609569 98038665 108931850 161219138 163397775 196077330 241828707 326795550 403047845 483657414 490193325 725486121 806095690 980386650 1209143535 1450972242 2015239225 2418287070 3627430605 4030478450 6045717675 7254861210 12091435350 18137153025 36274306050