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52111916352 = 263431132323
BaseRepresentation
bin110000100010000111…
…001011110101000000
311222111202202122020000
4300202013023311000
51323211122310402
635535003120000
73523244660166
oct604207136500
9158452678200
1052111916352
1120111900071
12a124213000
134bb6470782
142744ddd236
15154eeb2c1c
hexc221cbd40

52111916352 has 140 divisors (see below), whose sum is σ = 154977547296. Its totient is φ = 17314248960.

The previous prime is 52111916257. The next prime is 52111916393. The reversal of 52111916352 is 25361911125.

It is a happy number.

52111916352 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 19 + 1 + 635 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1596063 + ... + 1628385.

Almost surely, 252111916352 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 52111916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77488773648).

52111916352 is an abundant number, since it is smaller than the sum of its proper divisors (102865630944).

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

52111916352 is a wasteful number, since it uses less digits than its factorization.

52111916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32658 (or 32639 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 52111916352 in words is "fifty-two billion, one hundred eleven million, nine hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 311 324 432 576 622 648 864 933 1244 1296 1728 1866 2488 2592 2799 3732 4976 5184 5598 7464 8397 9952 11196 14928 16794 19904 22392 25191 29856 32323 33588 44784 50382 59712 64646 67176 89568 96969 100764 129292 134352 179136 193938 201528 258584 268704 290907 387876 403056 517168 537408 581814 775752 806112 872721 1034336 1163628 1551504 1612224 1745442 2068672 2327256 2618163 3103008 3490884 4654512 5236326 6206016 6981768 9309024 10052453 10472652 13963536 18618048 20104906 20945304 27927072 30157359 40209812 41890608 55854144 60314718 80419624 83781216 90472077 120629436 160839248 167562432 180944154 241258872 271416231 321678496 361888308 482517744 542832462 643356992 723776616 814248693 965035488 1085664924 1447553232 1628497386 1930070976 2171329848 2895106464 3256994772 4342659696 5790212928 6513989544 8685319392 13027979088 17370638784 26055958176 52111916352