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852858135030 = 23511171381110083
BaseRepresentation
bin11000110100100100100…
…11100110000111110110
310000112101011001012210110
430122102103212013312
5102433123140310110
61451444141403450
7115421422351656
oct14322223460766
93015334035713
10852858135030
112a9771201a10
12119358569586
1362568bbc755
142d3c84d0366
15172b8a56a20
hexc6924e61f6

852858135030 has 128 divisors (see below), whose sum is σ = 2366020440576. Its totient is φ = 194448844800.

The previous prime is 852858135029. The next prime is 852858135037. The reversal of 852858135030 is 30531858258.

852858135030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852858135037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7692369 + ... + 7802451.

It is an arithmetic number, because the mean of its divisors is an integer number (18484534692).

Almost surely, 2852858135030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852858135030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183010220288).

852858135030 is an abundant number, since it is smaller than the sum of its proper divisors (1513162305546).

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

852858135030 is a wasteful number, since it uses less digits than its factorization.

852858135030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111502.

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 852858135030 in words is "eight hundred fifty-two billion, eight hundred fifty-eight million, one hundred thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1381 1870 2762 2805 4143 5610 6905 8286 13810 15191 20715 23477 30382 41430 45573 46954 70431 75955 91146 110083 117385 140862 151910 220166 227865 234770 258247 330249 352155 455730 516494 550415 660498 704310 774741 1100830 1210913 1291235 1549482 1651245 1871411 2421826 2582470 3302490 3632739 3742822 3873705 5614233 6054565 7265478 7747410 9357055 11228466 12109130 18163695 18714110 20585521 28071165 36327390 41171042 56142330 61756563 102927605 123513126 152024623 205855210 304049246 308782815 456073869 617565630 760123115 912147738 1520246230 1672270853 2280369345 2584418591 3344541706 4560738690 5016812559 5168837182 7753255773 8361354265 10033625118 12922092955 15506511546 16722708530 25084062795 25844185910 28428604501 38766278865 50168125590 56857209002 77532557730 85285813503 142143022505 170571627006 284286045010 426429067515 852858135030