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2281241773328 = 247149991137941
BaseRepresentation
bin100001001100100100100…
…110110000010100010000
322002002021122212020020012
4201030210212300110100
5244333440343221303
64503553224134052
7323546204064050
oct41144446602420
98062248766205
102281241773328
117aa518566811
1230a153307328
1313717404756b
147c5ac5d1560
153e51895d5d8
hex213249b0510

2281241773328 has 80 divisors (see below), whose sum is σ = 5090390860800. Its totient is φ = 970126502400.

The previous prime is 2281241773313. The next prime is 2281241773397. The reversal of 2281241773328 is 8233771421822.

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, 16468838 + ... + 16606778.

It is an arithmetic number, because the mean of its divisors is an integer number (63629885760).

Almost surely, 22281241773328 is an apocalyptic number.

2281241773328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281241773328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545195430400).

2281241773328 is an abundant number, since it is smaller than the sum of its proper divisors (2809149087472).

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

2281241773328 is a wasteful number, since it uses less digits than its factorization.

2281241773328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139096 (or 139090 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The spelling of 2281241773328 in words is "two trillion, two hundred eighty-one billion, two hundred forty-one million, seven hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 991 1043 1192 1982 2086 2384 3964 4172 6937 7928 8344 13874 15856 16688 27748 55496 110992 137941 147659 275882 295318 551764 590636 965587 1033613 1103528 1181272 1931174 2067226 2207056 2362544 3862348 4134452 7724696 8268904 15449392 16537808 20553209 41106418 82212836 136699531 143872463 164425672 273399062 287744926 328851344 546798124 575489852 956896717 1093596248 1150979704 1913793434 2187192496 2301959408 3827586868 7655173736 15310347472 20368230119 40736460238 81472920476 142577610833 162945840952 285155221666 325891681904 570310443332 1140620886664 2281241773328