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85882128112392 = 233233138333130927
BaseRepresentation
bin10011100001101111111101…
…101111010001101100001000
3102021002020210011122021102020
4103201233331233101230020
542224043044244044032
6502353412140004440
724042531124120443
oct2341577557215410
9367066704567366
1085882128112392
1125401451416847
129770646b30720
1338bc85ab89551
14172ca07d2465a
159dded0687b2c
hex4e1bfdbd1b08

85882128112392 has 128 divisors (see below), whose sum is σ = 231275241308160. Its totient is φ = 26498500680960.

The previous prime is 85882128112381. The next prime is 85882128112393. The reversal of 85882128112392 is 29321182128858.

It is a super-2 number, since 2×858821281123922 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85882128112393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655888833 + ... + 656019759.

It is an arithmetic number, because the mean of its divisors is an integer number (1806837822720).

Almost surely, 285882128112392 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 85882128112392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115637620654080).

85882128112392 is an abundant number, since it is smaller than the sum of its proper divisors (145393113195768).

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

85882128112392 is a wasteful number, since it uses less digits than its factorization.

85882128112392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169323 (or 169319 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 60.

The spelling of 85882128112392 in words is "eighty-five trillion, eight hundred eighty-two billion, one hundred twenty-eight million, one hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112 38333 76666 114999 130927 153332 229998 261854 306664 392781 459996 523708 785562 881659 919992 1047416 1188323 1571124 1763318 2376646 2644977 3011321 3142248 3526636 3564969 4058737 4753292 5289954 6022642 7053272 7129938 8117474 9033963 9506584 10579908 12045284 12176211 14259876 16234948 18067926 21159816 24090568 24352422 27331429 28519752 32469896 36135852 48704844 54662858 72271704 81994287 93350951 97409688 109325716 163988574 186701902 218651432 280052853 327977148 373403804 560105706 655954296 746807608 1120211412 2240422824 5018824691 10037649382 15056474073 20075298764 30112948146 40150597528 60225896292 115432967893 120451792584 155583565421 230865935786 311167130842 346298903679 461731871572 466750696263 622334261684 692597807358 923463743144 933501392526 1244668523368 1385195614716 1867002785052 2770391229432 3578422004683 3734005570104 7156844009366 10735266014049 14313688018732 21470532028098 28627376037464 42941064056196 85882128112392