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52191818784 = 25327151171449
BaseRepresentation
bin110000100110110111…
…111111010000100000
311222201100010002202100
4300212313333100200
51323342101200114
635550535450400
73525235065660
oct604667772040
9158640102670
1052191818784
1120152a14a36
12a146b26a00
134bc9b98611
14275187c1a0
151556ee7909
hexc26dff420

52191818784 has 144 divisors (see below), whose sum is σ = 170747740800. Its totient is φ = 14813107200.

The previous prime is 52191818771. The next prime is 52191818821. The reversal of 52191818784 is 48781819125.

52191818784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 52191818784.

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, 218692 + ... + 390140.

It is an arithmetic number, because the mean of its divisors is an integer number (1185748200).

Almost surely, 252191818784 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 52191818784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85373870400).

52191818784 is an abundant number, since it is smaller than the sum of its proper divisors (118555922016).

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

52191818784 is a wasteful number, since it uses less digits than its factorization.

52191818784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171623 (or 171612 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 52191818784 in words is "fifty-two billion, one hundred ninety-one million, eight hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 151 168 224 252 288 302 336 453 504 604 672 906 1008 1057 1208 1359 1812 2016 2114 2416 2718 3171 3624 4228 4832 5436 6342 7248 8456 9513 10872 12684 14496 16912 19026 21744 25368 33824 38052 43488 50736 76104 101472 152208 171449 304416 342898 514347 685796 1028694 1200143 1371592 1543041 2057388 2400286 2743184 3086082 3600429 4114776 4800572 5486368 6172164 7200858 8229552 9601144 10801287 12344328 14401716 16459104 19202288 21602574 24688656 25888799 28803432 38404576 43205148 49377312 51777598 57606864 77666397 86410296 103555196 115213728 155332794 172820592 181221593 207110392 232999191 310665588 345641184 362443186 414220784 465998382 543664779 621331176 724886372 828441568 931996764 1087329558 1242662352 1449772744 1630994337 1863993528 2174659116 2485324704 2899545488 3261988674 3727987056 4349318232 5799090976 6523977348 7455974112 8698636464 13047954696 17397272928 26095909392 52191818784