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13425784668 = 2234293146093
BaseRepresentation
bin11001000000011110…
…10011011101011100
31021122122222112020000
430200033103131130
5204444000102133
610100121054300
7653463200232
oct144017233534
937578875200
1013425784668
11576a56180a
122728327390
13135c6706aa
14915122952
15538a0a413
hex3203d375c

13425784668 has 120 divisors (see below), whose sum is σ = 37479953280. Its totient is φ = 4181466240.

The previous prime is 13425784649. The next prime is 13425784709. The reversal of 13425784668 is 86648752431.

It is a happy number.

13425784668 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 578 + 4 + 6 + 68 = 666.

13425784668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268230 + ... + 314322.

It is an arithmetic number, because the mean of its divisors is an integer number (312332944).

Almost surely, 213425784668 is an apocalyptic number.

13425784668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13425784668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739976640).

13425784668 is an abundant number, since it is smaller than the sum of its proper divisors (24054168612).

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

13425784668 is a wasteful number, since it uses less digits than its factorization.

13425784668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46169 (or 46158 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 13425784668 in words is "thirteen billion, four hundred twenty-five million, seven hundred eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 81 87 93 108 116 124 162 174 186 261 279 324 348 372 522 558 783 837 899 1044 1116 1566 1674 1798 2349 2511 2697 3132 3348 3596 4698 5022 5394 8091 9396 10044 10788 16182 24273 32364 46093 48546 72819 92186 97092 138279 145638 184372 276558 291276 414837 553116 829674 1244511 1336697 1428883 1659348 2489022 2673394 2857766 3733533 4010091 4286649 4978044 5346788 5715532 7467066 8020182 8573298 12030273 12859947 14934132 16040364 17146596 24060546 25719894 36090819 38579841 41437607 48121092 51439788 72181638 77159682 82875214 108272457 115739523 124312821 144363276 154319364 165750428 216544914 231479046 248625642 372938463 433089828 462958092 497251284 745876926 1118815389 1491753852 2237630778 3356446167 4475261556 6712892334 13425784668