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52666840159904 = 2523472281667477
BaseRepresentation
bin10111111100110011101000…
…10011001001011010100000
320220110220022122102002202002
423332121310103021122200
523400343142040104104
6304002451245143132
714044024252646105
oct1376316423113240
9226426278362662
1052666840159904
1115865977280943
125aa722a25aaa8
132350600511c09
14d01135420aac
15614eba9a201e
hex2fe6744c96a0

52666840159904 has 96 divisors (see below), whose sum is σ = 110546659754496. Its totient is φ = 24641718773760.

The previous prime is 52666840159903. The next prime is 52666840159943. The reversal of 52666840159904 is 40995104866625.

52666840159904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×526668401599043 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52666840159903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78570614 + ... + 79238090.

It is an arithmetic number, because the mean of its divisors is an integer number (1151527705776).

Almost surely, 252666840159904 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 52666840159904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55273329877248).

52666840159904 is an abundant number, since it is smaller than the sum of its proper divisors (57879819594592).

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

52666840159904 is a wasteful number, since it uses less digits than its factorization.

52666840159904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669838 (or 669830 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 65.

The spelling of 52666840159904 in words is "fifty-two trillion, six hundred sixty-six billion, eight hundred forty million, one hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 1081 1504 2162 2281 4324 4562 8648 9124 17296 18248 34592 36496 52463 72992 104926 107207 209852 214414 419704 428828 667477 839408 857656 1334954 1678816 1715312 2465761 2669908 3430624 4931522 5339816 9863044 10679632 15351971 19726088 21359264 30703942 31371419 39452176 61407884 62742838 78904352 122815768 125485676 245631536 250971352 491263072 501942704 721542637 1003885408 1443085274 1522515037 2886170548 3045030074 5772341096 6090060148 11544682192 12180120296 23089364384 24360240592 35017845851 48720481184 70035691702 71558206739 140071383404 143116413478 280142766808 286232826956 560285533616 572465653912 1120571067232 1144931307824 1645838754997 2289862615648 3291677509994 6583355019988 13166710039976 26333420079952 52666840159904