Search a number
-
+
85127312184 = 23317461499907
BaseRepresentation
bin100111101000111111…
…0111011001100111000
322010201200001112001020
41033101332323030320
52343320042442214
6103035033422440
76102351133425
oct1172176731470
9263650045036
1085127312184
113311416a672
12145b8b6aa20
13804847a955
144197adad4c
1523336c24a9
hex13d1fbb338

85127312184 has 128 divisors (see below), whose sum is σ = 226527840000. Its totient is φ = 26565949440.

The previous prime is 85127312113. The next prime is 85127312191. The reversal of 85127312184 is 48121372158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93855459 + ... + 93856365.

It is an arithmetic number, because the mean of its divisors is an integer number (1769748750).

Almost surely, 285127312184 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 85127312184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113263920000).

85127312184 is an abundant number, since it is smaller than the sum of its proper divisors (141400527816).

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

85127312184 is a wasteful number, since it uses less digits than its factorization.

85127312184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1889 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The spelling of 85127312184 in words is "eighty-five billion, one hundred twenty-seven million, three hundred twelve thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 461 499 907 922 998 1383 1497 1814 1844 1996 2721 2766 2994 3628 3688 3992 5442 5532 5988 7256 7837 8483 10884 11064 11976 15419 15674 16966 21768 23511 25449 30838 31348 33932 46257 47022 50898 61676 62696 67864 92514 94044 101796 123352 185028 188088 203592 230039 370056 418127 452593 460078 690117 836254 905186 920156 1254381 1357779 1380234 1672508 1810372 1840312 2508762 2715558 2760468 3345016 3620744 3910663 5017524 5431116 5520936 7108159 7694081 7821326 10035048 10862232 11731989 14216318 15388162 15642652 21324477 23082243 23463978 28432636 30776324 31285304 42648954 46164486 46927956 56865272 61552648 85297908 92328972 93855912 170595816 184657944 208645373 417290746 625936119 834581492 1251872238 1669162984 2503744476 3546971341 5007488952 7093942682 10640914023 14187885364 21281828046 28375770728 42563656092 85127312184