Search a number
-
+
85980174375108 = 2231319432777242927
BaseRepresentation
bin10011100011001011010001…
…110000000101100011000100
3102021102121212011222110221210
4103203023101300011203010
542232144344120000413
6502510425151411420
724052601605445046
oct2343132160054304
9367377764873853
1085980174375108
1125439a94a33132
12978764a523b70
1338c8b8499bc10
1417336696cda96
159e181d0ec3c3
hex4e32d1c058c4

85980174375108 has 192 divisors, whose sum is σ = 232797630320640. Its totient is φ = 24471269157888.

The previous prime is 85980174375071. The next prime is 85980174375113. The reversal of 85980174375108 is 80157347108958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353812741 + ... + 354055667.

It is an arithmetic number, because the mean of its divisors is an integer number (1212487657920).

Almost surely, 285980174375108 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 85980174375108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116398815160320).

85980174375108 is an abundant number, since it is smaller than the sum of its proper divisors (146817455945532).

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

85980174375108 is a wasteful number, since it uses less digits than its factorization.

85980174375108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245786 (or 245784 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 66.

The spelling of 85980174375108 in words is "eighty-five trillion, nine hundred eighty billion, one hundred seventy-four million, three hundred seventy-five thousand, one hundred eight".