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10045031005600 = 2552171938873959
BaseRepresentation
bin1001001000101100101010…
…0000010011110110100000
31022120021222111000100120121
42102023022200103312200
52304034210414134400
633210342403450024
72054505142520023
oct222131240236640
938507874010517
1010045031005600
11322308a147028
121162964686914
1357b31c604276
1426a27994d1ba
1512646345821a
hex922ca813da0

10045031005600 has 144 divisors (see below), whose sum is σ = 27331503796800. Its totient is φ = 3582623969280.

The previous prime is 10045031005573. The next prime is 10045031005609. The reversal of 10045031005600 is 650013054001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10045031005609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19178580 + ... + 19695379.

It is an arithmetic number, because the mean of its divisors is an integer number (189802109700).

Almost surely, 210045031005600 is an apocalyptic number.

10045031005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045031005600 is an abundant number, since it is smaller than the sum of its proper divisors (17286472791200).

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

10045031005600 is a wasteful number, since it uses less digits than its factorization.

10045031005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38874015 (or 38874002 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10045031005600 its reverse (650013054001), we get a palindrome (10695044059601).

The spelling of 10045031005600 in words is "ten trillion, forty-five billion, thirty-one million, five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 68 76 80 85 95 100 136 152 160 170 190 200 272 304 323 340 380 400 425 475 544 608 646 680 760 800 850 950 1292 1360 1520 1615 1700 1900 2584 2720 3040 3230 3400 3800 5168 6460 6800 7600 8075 10336 12920 13600 15200 16150 25840 32300 51680 64600 129200 258400 38873959 77747918 155495836 194369795 310991672 388739590 621983344 660857303 738605221 777479180 971848975 1243966688 1321714606 1477210442 1554958360 1943697950 2643429212 2954420884 3109916720 3304286515 3693026105 3887395900 5286858424 5908841768 6219833440 6608573030 7386052210 7774791800 10573716848 11817683536 12556288757 13217146060 14772104420 15549583600 16521432575 18465130525 21147433696 23635367072 25112577514 26434292120 29544208840 31099167200 33042865150 36930261050 50225155028 52868584240 59088417680 62781443785 66085730300 73860522100 100450310056 105737168480 118176835360 125562887570 132171460600 147721044200 200900620112 251125775140 264342921200 295442088400 313907218925 401801240224 502251550280 528685842400 590884176800 627814437850 1004503100560 1255628875700 2009006201120 2511257751400 5022515502800 10045031005600