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10454352211044 = 22327218733164177
BaseRepresentation
bin1001100000100001011111…
…1100110010110001100100
31101000102111210002000121200
42120020113330302301210
52332241003131223134
634122355121442500
72126205410411100
oct230102774626144
941012453060550
1010454352211044
113370736307aa5
12120a1594a0430
135aaac2106691
14281dc9a5a900
15131e1d32a499
hex98217f32c64

10454352211044 has 108 divisors (see below), whose sum is σ = 30757196069964. Its totient is φ = 2985362085888.

The previous prime is 10454352210853. The next prime is 10454352211081. The reversal of 10454352211044 is 44011225345401.

10454352211044 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 435 + 2 + 211 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1739233440000 + 8715118771044 = 1318800^2 + 2952138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1721884 + ... + 4886060.

Almost surely, 210454352211044 is an apocalyptic number.

10454352211044 is a gapful number since it is divisible by the number (14) 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 10454352211044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378598034982).

10454352211044 is an abundant number, since it is smaller than the sum of its proper divisors (20302843858920).

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

10454352211044 is a wasteful number, since it uses less digits than its factorization.

10454352211044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166074 (or 3166062 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10454352211044 its reverse (44011225345401), we get a palindrome (54465577556445).

The spelling of 10454352211044 in words is "ten trillion, four hundred fifty-four billion, three hundred fifty-two million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1873 3746 5619 7492 11238 13111 16857 22476 26222 33714 39333 52444 67428 78666 91777 117999 157332 183554 235998 275331 367108 471996 550662 825993 1101324 1651986 3164177 3303972 6328354 9492531 12656708 18985062 22149239 28477593 37970124 44298478 56955186 66447717 88596956 113910372 132895434 155044673 199343151 265790868 310089346 398686302 465134019 620178692 797372604 930268038 1395402057 1860536076 2790804114 5581608228 5926503521 11853007042 17779510563 23706014084 35559021126 41485524647 53338531689 71118042252 82971049294 106677063378 124456573941 165942098588 213354126756 248913147882 290398672529 373369721823 497826295764 580797345058 746739443646 871196017587 1161594690116 1493478887292 1742392035174 2613588052761 3484784070348 5227176105522 10454352211044