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4032124092672 = 28313683591301
BaseRepresentation
bin111010101011001101010…
…100110000000100000000
3112021110121122211200200020
4322223031110300010000
51012030242231431142
612324155432453440
7564211536202014
oct72531524600400
915243548750606
104032124092672
111315017a29995
1255155224a280
132332c62658b0
14dd227906544
156ed41309cec
hex3aacd530100

4032124092672 has 144 divisors (see below), whose sum is σ = 11573757453888. Its totient is φ = 1238834995200.

The previous prime is 4032124092649. The next prime is 4032124092713. The reversal of 4032124092672 is 2762904212304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6523422 + ... + 7114722.

It is an arithmetic number, because the mean of its divisors is an integer number (80373315652).

Almost surely, 24032124092672 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 4032124092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786878726944).

4032124092672 is an abundant number, since it is smaller than the sum of its proper divisors (7541633361216).

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

4032124092672 is a wasteful number, since it uses less digits than its factorization.

4032124092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592016 (or 592002 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4032124092672 in words is "four trillion, thirty-two billion, one hundred twenty-four million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 683 768 832 1248 1366 1664 2049 2496 2732 3328 4098 4992 5464 8196 8879 9984 10928 16392 17758 21856 26637 32784 35516 43712 53274 65568 71032 87424 106548 131136 142064 174848 213096 262272 284128 426192 524544 568256 591301 852384 1136512 1182602 1704768 1773903 2273024 2365204 3409536 3547806 4730408 6819072 7095612 7686913 9460816 14191224 15373826 18921632 23060739 28382448 30747652 37843264 46121478 56764896 61495304 75686528 92242956 113529792 122990608 151373056 184485912 227059584 245981216 368971824 403858583 454119168 491962432 737943648 807717166 983924864 1211575749 1475887296 1615434332 1967849728 2423151498 2951774592 3230868664 4846302996 5250161579 5903549184 6461737328 9692605992 10500323158 12923474656 15750484737 19385211984 21000646316 25846949312 31500969474 38770423968 42001292632 51693898624 63001938948 77540847936 84002585264 103387797248 126003877896 155081695872 168005170528 252007755792 310163391744 336010341056 504015511584 672020682112 1008031023168 1344041364224 2016062046336 4032124092672