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1013868336832 = 26132223420349
BaseRepresentation
bin11101100000011110100…
…00110001011011000000
310120220222020010221010221
432300033100301123000
5113102400243234312
62053433101032424
7133151413445641
oct16601720613300
93526866127127
101013868336832
11360a8527669a
121445b2555714
13747b8528c00
14371002496c8
151b58e03d207
hexec0f4316c0

1013868336832 has 84 divisors (see below), whose sum is σ = 2188335374400. Its totient is φ = 465839741952.

The previous prime is 1013868336797. The next prime is 1013868336869. The reversal of 1013868336832 is 2386338683101.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 1013868336832.

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 11 ways as a sum of consecutive naturals, for example, 2201794 + ... + 2622142.

It is an arithmetic number, because the mean of its divisors is an integer number (26051611600).

Almost surely, 21013868336832 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 1013868336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094167687200).

1013868336832 is an abundant number, since it is smaller than the sum of its proper divisors (1174467037568).

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

1013868336832 is a wasteful number, since it uses less digits than its factorization.

1013868336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420610 (or 420587 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 1013868336832 in words is "one trillion, thirteen billion, eight hundred sixty-eight million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 223 338 416 446 676 832 892 1352 1784 2704 2899 3568 5408 5798 7136 10816 11596 14272 23192 37687 46384 75374 92768 150748 185536 301496 420349 602992 840698 1205984 1681396 2411968 3362792 5464537 6725584 10929074 13451168 21858148 26902336 43716296 71038981 87432592 93737827 142077962 174865184 187475654 284155924 349730368 374951308 568311848 749902616 1136623696 1218591751 1499805232 2273247392 2437183502 2999610464 4546494784 4874367004 5999220928 9748734008 15841692763 19497468016 31683385526 38994936032 63366771052 77989872064 126733542104 253467084208 506934168416 1013868336832