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2483432443881 = 342343312
BaseRepresentation
bin100100001000111000000…
…110111100111111101001
322210102011200021111210000
4210020320012330333221
5311142032201201011
65140512332013213
7344264525322504
oct44107006747751
98712150244700
102483432443881
11878243965144
12341380601209
1315025717c7ac
14882ad60213b
15448ee3aa356
hex242381bcfe9

2483432443881 has 75 divisors (see below), whose sum is σ = 3890199122733. Its totient is φ = 1578853675080.

The previous prime is 2483432443873. The next prime is 2483432443937. The reversal of 2483432443881 is 1883442343842.

The square root of 2483432443881 is 1575891.

It is a perfect power (a square), and thus also a powerful number.

2483432443881 is a `hidden beast` number, since 2 + 4 + 83 + 43 + 2 + 443 + 8 + 81 = 666.

2483432443881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2483432443881 - 23 = 2483432443873 is a prime.

It is a super-2 number, since 2×24834324438812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2483432443871) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 7502816886 + ... + 7502817216.

Almost surely, 22483432443881 is an apocalyptic number.

2483432443881 is the 1575891-st square number.

2483432443881 is the 787946-th centered octagonal number.

It is an amenable number.

2483432443881 is a deficient number, since it is larger than the sum of its proper divisors (1406766678852).

2483432443881 is an frugal number, since it uses more digits than its factorization.

2483432443881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 357 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 2483432443881 in words is "two trillion, four hundred eighty-three billion, four hundred thirty-two million, four hundred forty-three thousand, eight hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 207 331 529 621 993 1587 1863 2979 4761 7613 8937 12167 14283 22839 26811 36501 42849 68517 109503 109561 175099 205551 279841 328509 328683 525297 616653 839523 985527 986049 1575891 2518569 2519903 2958147 4027277 4727673 7555707 7559709 8874441 12081831 14183019 22667121 22679127 36245493 57957769 68037381 92627371 108736479 173873307 204112143 277882113 326209437 521619921 833646339 1333028687 1564859763 2500939017 3999086061 4694579289 7502817051 11997258183 30659659801 35991774549 91978979403 107975323647 275936938209 827810814627 2483432443881