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11169084312324 = 2232292192072
BaseRepresentation
bin1010001010001000000101…
…0011011000101100000100
31110112202100200121201002100
42202202001103120230010
52430443241040443244
635431001223112100
72231640215134161
oct242420123305404
943482320551070
1011169084312324
113616866a0a404
1213047878a2630
136303177510c3
142a882d76b068
15145800929b69
hexa28814d8b04

11169084312324 has 81 divisors (see below), whose sum is σ = 29241606725877. Its totient is φ = 3594460671648.

The previous prime is 11169084312317. The next prime is 11169084312341. The reversal of 11169084312324 is 42321348096111.

The square root of 11169084312324 is 3342018.

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

11169084312324 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 9 + 0 + 8 + 4 + 312 + 324 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5856796886724 + 5312287425600 = 2420082^2 + 2304840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11169084312324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 581501529 + ... + 581520735.

Almost surely, 211169084312324 is an apocalyptic number.

11169084312324 is the 3342018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11169084312324

11169084312324 is an abundant number, since it is smaller than the sum of its proper divisors (18072522413553).

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

11169084312324 is an frugal number, since it uses more digits than its factorization.

11169084312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38482 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11169084312324 in words is "eleven trillion, one hundred sixty-nine billion, eighty-four million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 19207 30276 38414 57621 76828 115242 172863 230484 345726 557003 691452 1114006 1671009 2228012 3342018 5013027 6684036 10026054 16153087 20052108 32306174 48459261 64612348 96918522 145377783 193837044 290755566 368908849 581511132 737817698 1106726547 1475635396 2213453094 3320179641 4426906188 6640359282 10698356621 13280718564 21396713242 32095069863 42793426484 64190139726 96285209589 128380279452 192570419178 310252342009 385140838356 620504684018 930757026027 1241009368036 1861514052054 2792271078081 3723028104108 5584542156162 11169084312324