Search a number
-
+
4082092306460 = 2257435153131591
BaseRepresentation
bin111011011001101111101…
…010010111000000011100
3112110020121000211221210222
4323121233222113000130
51013340111112301320
612403142021020512
7600631024046420
oct73315752270034
915406530757728
104082092306460
111334229761543
1255b178554738
13237c2a5565bc
14101807d20b80
15712b7ec1825
hex3b66fa9701c

4082092306460 has 96 divisors (see below), whose sum is σ = 10026880883712. Its totient is φ = 1366750586880.

The previous prime is 4082092306339. The next prime is 4082092306471. The reversal of 4082092306460 is 646032902804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30955265 + ... + 31086855.

It is an arithmetic number, because the mean of its divisors is an integer number (104446675872).

Almost surely, 24082092306460 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 4082092306460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013440441856).

4082092306460 is an abundant number, since it is smaller than the sum of its proper divisors (5944788577252).

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

4082092306460 is a wasteful number, since it uses less digits than its factorization.

4082092306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136803 (or 136801 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 4082092306460 in words is "four trillion, eighty-two billion, ninety-two million, three hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 5153 6020 10306 20612 25765 36071 51530 72142 103060 131591 144284 180355 221579 263182 360710 443158 526364 657955 721420 886316 921137 1107895 1315910 1551053 1842274 2215790 2631820 3102106 3684548 4431580 4605685 5658413 6204212 7755265 9211370 11316826 15510530 18422740 22633652 28292065 31021060 39608891 56584130 79217782 113168260 158435564 198044455 396088910 678088423 792177820 1356176846 2712353692 3390442115 4746618961 6780884230 9493237922 13561768460 18986475844 23733094805 29157802189 47466189610 58315604378 94932379220 116631208756 145789010945 204104615323 291578021890 408209230646 583156043780 816418461292 1020523076615 2041046153230 4082092306460