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52500332144032 = 25411631440117047
BaseRepresentation
bin10111110111111101011111…
…01001011110010110100000
320212212222112102012111022021
423323332233221132112200
523340131140012102112
6303354153012351224
714026011113113513
oct1373765751362640
9225788472174267
1052500332144032
11158012a18a6073
125a7aabb015514
13233a9b5b78a36
14cd705b45ad7a
156109c29cd907
hex2fbfafa5e5a0

52500332144032 has 96 divisors (see below), whose sum is σ = 106544229047424. Its totient is φ = 25449541632000.

The previous prime is 52500332143997. The next prime is 52500332144087. The reversal of 52500332144032 is 23044123300525.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3079731733 + ... + 3079748779.

It is an arithmetic number, because the mean of its divisors is an integer number (1109835719244).

Almost surely, 252500332144032 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 52500332144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53272114523712).

52500332144032 is an abundant number, since it is smaller than the sum of its proper divisors (54043896903392).

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

52500332144032 is a wasteful number, since it uses less digits than its factorization.

52500332144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31662 (or 31654 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 52500332144032 its reverse (23044123300525), we get a palindrome (75544455444557).

The spelling of 52500332144032 in words is "fifty-two trillion, five hundred billion, three hundred thirty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 163 164 326 328 652 656 1304 1312 2608 5216 6683 13366 14401 17047 26732 28802 34094 53464 57604 68188 106928 115208 136376 213856 230416 272752 460832 545504 590441 698927 1180882 1397854 2347363 2361764 2778661 2795708 4694726 4723528 5557322 5591416 9389452 9447056 11114644 11182832 18778904 18894112 22229288 22365664 37557808 44458576 75115616 88917152 96241883 113925101 192483766 227850202 245493847 384967532 455700404 490987694 769935064 911400808 981975388 1539870128 1822801616 1963950776 3079740256 3645603232 3927901552 7855803104 10065247727 20130495454 40015497061 40260990908 80030994122 80521981816 160061988244 161043963632 320123976488 322087927264 640247952976 1280495905952 1640635379501 3281270759002 6562541518004 13125083036008 26250166072016 52500332144032