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51787380526532 = 227223137797105211
BaseRepresentation
bin10111100011001101100000…
…11010111000110111000100
320210100211021120221202102022
423301212300122320313010
523241441023403322112
6302050443313102312
713623341365262300
oct1361466032706704
9223324246852368
1051787380526532
11155569a5238562
1259848a8b57998
1322b86b537a201
14cb0745dc2d00
155ec19687ed72
hex2f19b06b8dc4

51787380526532 has 144 divisors (see below), whose sum is σ = 110951043573888. Its totient is φ = 21048006228480.

The previous prime is 51787380526523. The next prime is 51787380526577. The reversal of 51787380526532 is 23562508378715.

51787380526532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 492171407 + ... + 492276617.

It is an arithmetic number, because the mean of its divisors is an integer number (770493358152).

Almost surely, 251787380526532 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 51787380526532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55475521786944).

51787380526532 is an abundant number, since it is smaller than the sum of its proper divisors (59163663047356).

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

51787380526532 is a wasteful number, since it uses less digits than its factorization.

51787380526532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106186 (or 106177 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 62.

The spelling of 51787380526532 in words is "fifty-one trillion, seven hundred eighty-seven billion, three hundred eighty million, five hundred twenty-six thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 137 161 196 274 322 548 644 797 959 1127 1594 1918 2254 3151 3188 3836 4508 5579 6302 6713 11158 12604 13426 18331 22057 22316 26852 36662 39053 44114 73324 78106 88228 105211 109189 128317 154399 156212 210422 218378 256634 308798 420844 436756 513268 617596 736477 764323 898219 1472954 1528646 1796438 2419853 2511347 2945908 3057292 3592876 4839706 5022694 5155339 5350261 9679412 10045388 10310678 10700522 14413907 16938971 17579429 20621356 21401044 28827814 33877942 35158858 57655628 67755884 70317716 83853167 100897349 118572797 123056003 167706334 201794698 237145594 246112006 331519861 335412668 403589396 474291188 492224012 586972169 663039722 706281443 1173944338 1326079444 1412562886 1928622841 2320639027 2347888676 2825125772 3857245682 4108805183 4641278054 7714491364 8217610366 9282556108 11487883879 13500359887 16244473189 16435220732 22975767758 27000719774 32488946378 45951535516 54001439548 64977892756 80415187153 94502519209 160830374306 189005038418 264221329217 321660748612 378010076836 528442658434 562906310071 1056885316868 1125812620142 1849549304519 2251625240284 3699098609038 7398197218076 12946845131633 25893690263266 51787380526532