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52632211223625 = 35311531061226901
BaseRepresentation
bin10111111011110011001000…
…10000001111010001001001
320220100120221021221212112120
423331321210100033101021
523344311232033124000
6303534523135001453
714041360154566155
oct1375714420172111
9226316837855476
1052632211223625
1115852217131540
125aa0585069289
13234a27213aa87
14cdd5ac306065
156141407bb6a0
hex2fde6440f449

52632211223625 has 128 divisors (see below), whose sum is σ = 97436670709248. Its totient is φ = 25013456000000.

The previous prime is 52632211223617. The next prime is 52632211223693.

52632211223625 is nontrivially palindromic in base 10.

52632211223625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52632211223625 - 23 = 52632211223617 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 231847675 + ... + 232074575.

It is an arithmetic number, because the mean of its divisors is an integer number (761223989916).

Almost surely, 252632211223625 is an apocalyptic number.

52632211223625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52632211223625 is a deficient number, since it is larger than the sum of its proper divisors (44804459485623).

52632211223625 is a wasteful number, since it uses less digits than its factorization.

52632211223625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228044 (or 228034 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 5263221 and 1223625, that added together give a palindrome (6486846).

The spelling of 52632211223625 in words is "fifty-two trillion, six hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 53 55 75 125 159 165 265 275 375 583 795 825 1061 1325 1375 1749 2915 3183 3975 4125 5305 6625 8745 11671 14575 15915 19875 26525 35013 43725 56233 58355 72875 79575 132625 168699 175065 218625 226901 281165 291775 397875 618563 680703 843495 875325 1134505 1405825 1458875 1855689 2495911 3092815 3403515 4217475 4376625 5672525 7029125 7487733 9278445 12025753 12479555 15464075 17017575 21087375 28362625 36077259 37438665 46392225 60128765 62397775 77320375 85087875 132283283 180386295 187193325 231961125 240741961 300643825 311988875 396849849 661416415 722225883 901931475 935966625 1203709805 1503219125 1984249245 2648161571 3307082075 3611129415 4509657375 6018549025 7944484713 9921246225 12759323933 13240807855 16535410375 18055647075 30092745125 38277971799 39722423565 49606231125 63796619665 66204039275 90278235375 140352563263 191389858995 198612117825 318983098325 331020196375 421057689789 701762816315 956949294975 993060589125 1594915491625 2105288448945 3508814081575 4784746474875 10526442244725 17544070407875 52632211223625