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852745433430 = 23511231071050011
BaseRepresentation
bin11000110100010111001…
…01101011000101010110
310000112002021222101021010
430122023211223011112
5102432410312332210
61451425034033050
7115415553405612
oct14321345530526
93015067871233
10852745433430
112a97136255a0
12119326878786
136254b74c807
142d3b7554342
15172adbe3920
hexc68b96b156

852745433430 has 128 divisors (see below), whose sum is σ = 2351489273856. Its totient is φ = 195889865600.

The previous prime is 852745433357. The next prime is 852745433497. The reversal of 852745433430 is 34334547258.

852745433430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 852745433430.

It is a congruent number.

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, 287125 + ... + 1337135.

It is an arithmetic number, because the mean of its divisors is an integer number (18371009952).

Almost surely, 2852745433430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852745433430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175744636928).

852745433430 is an abundant number, since it is smaller than the sum of its proper divisors (1498743840426).

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

852745433430 is a wasteful number, since it uses less digits than its factorization.

852745433430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050162.

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 852745433430 in words is "eight hundred fifty-two billion, seven hundred forty-five million, four hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 107 110 115 138 165 214 230 253 321 330 345 506 535 642 690 759 1070 1177 1265 1518 1605 2354 2461 2530 3210 3531 3795 4922 5885 7062 7383 7590 11770 12305 14766 17655 24610 27071 35310 36915 54142 73830 81213 135355 162426 270710 406065 812130 1050011 2100022 3150033 5250055 6300066 10500110 11550121 15750165 23100242 24150253 31500330 34650363 48300506 57750605 69300726 72450759 112351177 115501210 120751265 144901518 173251815 224702354 241502530 265652783 337053531 346503630 362253795 531305566 561755885 674107062 724507590 796958349 1123511770 1235862947 1328263915 1593916698 1685267655 2471725894 2584077071 2656527830 3370535310 3707588841 3984791745 5168154142 6179314735 7415177682 7752231213 7969583490 12358629470 12920385355 15504462426 18537944205 25840770710 28424847781 37075888410 38761156065 56849695562 77522312130 85274543343 142124238905 170549086686 284248477810 426372716715 852745433430