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52006221070160 = 2457911310932789
BaseRepresentation
bin10111101001100101001000…
…10101010011111101010000
320211010202010222001020000212
423310302210111103331100
523304032220043221120
6302335154513303252
713645216432226030
oct1364624425237520
9224122128036025
1052006221070160
1115630794aa3a75
1259bb1a2264b28
13230321caa6946
14cbb1863b18c0
15602c03d926c5
hex2f4ca4553f50

52006221070160 has 160 divisors (see below), whose sum is σ = 138388364006400. Its totient is φ = 17804859770880.

The previous prime is 52006221070159. The next prime is 52006221070183. The reversal of 52006221070160 is 6107012260025.

52006221070160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586071046 + ... + 1586103834.

It is an arithmetic number, because the mean of its divisors is an integer number (864927275040).

Almost surely, 252006221070160 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 52006221070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69194182003200).

52006221070160 is an abundant number, since it is smaller than the sum of its proper divisors (86382142936240).

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

52006221070160 is a wasteful number, since it uses less digits than its factorization.

52006221070160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36829 (or 36823 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 52006221070160 in words is "fifty-two trillion, six billion, two hundred twenty-one million, seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 911 1822 3109 3644 4555 6218 6377 7288 9110 12436 12754 14576 15545 18220 21763 24872 25508 31090 31885 32789 36440 43526 49744 51016 62180 63770 65578 72880 87052 102032 108815 124360 127540 131156 163945 174104 217630 229523 248720 255080 262312 327890 348208 435260 459046 510160 524624 655780 870520 918092 1147615 1311560 1741040 1836184 2295230 2623120 2832299 3672368 4590460 5664598 9180920 11329196 14161495 18361840 19826093 22658392 28322990 29870779 39652186 45316784 56645980 59741558 79304372 99130465 101941001 113291960 119483116 149353895 158608744 198260930 203882002 209095453 226583920 238966232 298707790 317217488 396521860 407764004 418190906 477932464 509705005 597415580 713587007 793043720 815528008 836381812 1019410010 1045477265 1194831160 1427174014 1586087440 1631056016 1672763624 2038820020 2090954530 2389662320 2854348028 3345527248 3567935035 4077640040 4181909060 5708696056 7135870070 8155280080 8363818120 11417392112 14271740140 16727636240 28543480280 57086960560 92868251911 185736503822 371473007644 464341259555 650077763377 742946015288 928682519110 1300155526754 1485892030576 1857365038220 2600311053508 3250388816885 3714730076440 5200622107016 6500777633770 7429460152880 10401244214032 13001555267540 26003110535080 52006221070160