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18282304323400 = 23521310964510601
BaseRepresentation
bin1000010100000101011100…
…10000010011111101001000
32101201202211020000011122011
410022002232100103331020
54344014124401322100
6102514435154305304
73564565354461265
oct412025620237510
971652736004564
1018282304323400
115909533198837
122073296888234
13a28024700610
14472c226a026c
1521a870c73bba
hex10a0ae413f48

18282304323400 has 96 divisors (see below), whose sum is σ = 46196042092200. Its totient is φ = 6688459008000.

The previous prime is 18282304323337. The next prime is 18282304323421. The reversal of 18282304323400 is 432340328281.

It can be written as a sum of positive squares in 12 ways, for example, as 4282838528004 + 13999465795396 = 2069502^2 + 3741586^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31971901 + ... + 32538700.

Almost surely, 218282304323400 is an apocalyptic number.

18282304323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18282304323400 is an abundant number, since it is smaller than the sum of its proper divisors (27913737768800).

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

18282304323400 is a wasteful number, since it uses less digits than its factorization.

18282304323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64510739 (or 64510730 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 18282304323400 in words is "eighteen trillion, two hundred eighty-two billion, three hundred four million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 109 130 200 218 260 325 436 520 545 650 872 1090 1300 1417 2180 2600 2725 2834 4360 5450 5668 7085 10900 11336 14170 21800 28340 35425 56680 70850 141700 283400 64510601 129021202 258042404 322553005 516084808 645106010 838637813 1290212020 1612765025 1677275626 2580424040 3225530050 3354551252 4193189065 6451060100 6709102504 7031655509 8386378130 12902120200 14063311018 16772756260 20965945325 28126622036 33545512520 35158277545 41931890650 56253244072 70316555090 83863781300 91411521617 140633110180 167727562600 175791387725 182823043234 281266220360 351582775450 365646086468 457057608085 703165550900 731292172936 914115216170 1406331101800 1828230432340 2285288040425 3656460864680 4570576080850 9141152161700 18282304323400