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52205631676576 = 2572292175152783
BaseRepresentation
bin10111101111011000100100…
…01000011010000010100000
320211211210212020021121112021
423313230102020122002200
523320314113202122301
6303010534110511224
713665506135350300
oct1367542210320240
9224753766247467
1052205631676576
11156a83140a1034
125a31974505514
132318c7bc71b01
14cc6aa20ab600
15607ec56e18a1
hex2f7b1221a0a0

52205631676576 has 144 divisors (see below), whose sum is σ = 123691014800640. Its totient is φ = 21600927936000.

The previous prime is 52205631676553. The next prime is 52205631676591. The reversal of 52205631676576 is 67567613650225.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989035081 + ... + 989087863.

It is an arithmetic number, because the mean of its divisors is an integer number (858965380560).

Almost surely, 252205631676576 is an apocalyptic number.

52205631676576 is a gapful number since it is divisible by the number (56) 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 52205631676576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61845507400320).

52205631676576 is an abundant number, since it is smaller than the sum of its proper divisors (71485383124064).

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

52205631676576 is a wasteful number, since it uses less digits than its factorization.

52205631676576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74587 (or 74572 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 61.

The spelling of 52205631676576 in words is "fifty-two trillion, two hundred five billion, six hundred thirty-one million, six hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 21751 22736 43502 45472 52783 87004 105566 152257 174008 211132 304514 348016 369481 422264 609028 630779 696032 738962 844528 1065799 1218056 1261558 1477924 1530707 1689056 2131598 2436112 2523116 2586367 2955848 3061414 4263196 4415453 4872224 5046232 5172734 5911696 6122828 8526392 8830906 10092464 10345468 10714949 11823392 12245656 17052784 17661812 20184928 20690936 21429898 24491312 30908171 34105568 35323624 41381872 42859796 48982624 61816342 70647248 75004643 82763744 85719592 123632684 141294496 150009286 171439184 247265368 300018572 342878368 494530736 600037144 989061472 1148083033 1200074288 2296166066 2400148576 4592332132 8036581231 9184664264 16073162462 18369328528 32146324924 33294407957 36738657056 56256068617 64292649848 66588815914 112512137234 128585299696 133177631828 225024274468 233060855699 257170599392 266355263656 450048548936 466121711398 532710527312 900097097872 932243422796 1065421054624 1631425989893 1800194195744 1864486845592 3262851979786 3728973691184 6525703959572 7457947382368 13051407919144 26102815838288 52205631676576