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69861113424 = 24323171220421
BaseRepresentation
bin100000100010000001…
…0111111111001010000
320200022202000021022100
41001010002333321100
52121033421112144
652032130040400
75022136444344
oct1010402777120
9220282007270
1069861113424
112769a860583
1211658419100
13678473a04b
14354a3c1624
151c3d329269
hex10440bfe50

69861113424 has 120 divisors (see below), whose sum is σ = 204664472064. Its totient is φ = 22218336000.

The previous prime is 69861113407. The next prime is 69861113431. The reversal of 69861113424 is 42431116896.

69861113424 is a `hidden beast` number, since 6 + 9 + 8 + 611 + 1 + 3 + 4 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 69861113424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206734 + ... + 427154.

Almost surely, 269861113424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69861113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332236032).

69861113424 is an abundant number, since it is smaller than the sum of its proper divisors (134803358640).

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

69861113424 is a wasteful number, since it uses less digits than its factorization.

69861113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220537 (or 220528 counting only the distinct ones).

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

The spelling of 69861113424 in words is "sixty-nine billion, eight hundred sixty-one million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 71 72 93 124 142 144 186 213 248 279 284 372 426 496 558 568 639 744 852 1116 1136 1278 1488 1704 2201 2232 2556 3408 4402 4464 5112 6603 8804 10224 13206 17608 19809 26412 35216 39618 52824 79236 105648 158472 220421 316944 440842 661263 881684 1322526 1763368 1983789 2645052 3526736 3967578 5290104 6833051 7935156 10580208 13666102 15649891 15870312 20499153 27332204 31299782 31740624 40998306 46949673 54664408 61497459 62599564 81996612 93899346 109328816 122994918 125199128 140849019 163993224 187798692 245989836 250398256 281698038 327986448 375597384 485146621 491979672 563396076 751194768 970293242 983959344 1126792152 1455439863 1940586484 2253584304 2910879726 3881172968 4366319589 5821759452 7762345936 8732639178 11643518904 17465278356 23287037808 34930556712 69861113424