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10000445400 = 23325211505073
BaseRepresentation
bin10010101000001001…
…01010111111011000
3221210221121021002200
421110010222333120
5130440103223100
64332200130200
7502551245331
oct112404527730
927727537080
1010000445400
114271a99710
121b31166960
13c34b1511a
146ac23b288
153d7e49e00
hex25412afd8

10000445400 has 144 divisors (see below), whose sum is σ = 36638067960. Its totient is φ = 2424345600.

The previous prime is 10000445383. The next prime is 10000445447. The reversal of 10000445400 is 454400001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 232737 + ... + 272336.

Almost surely, 210000445400 is an apocalyptic number.

10000445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000445400 is an abundant number, since it is smaller than the sum of its proper divisors (26637622560).

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

10000445400 is a wasteful number, since it uses less digits than its factorization.

10000445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505106 (or 505094 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10000445400 its reverse (454400001), we get a palindrome (10454845401).

The spelling of 10000445400 in words is "ten billion, four hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 505073 1010146 1515219 2020292 2525365 3030438 4040584 4545657 5050730 5555803 6060876 7576095 9091314 10101460 11111606 12121752 12626825 15152190 16667409 18182628 20202920 22223212 22728285 25253650 27779015 30304380 33334818 36365256 37880475 44446424 45456570 50002227 50507300 55558030 60608760 66669636 75760950 83337045 90913140 100004454 101014600 111116060 113641425 133339272 138895075 151521900 166674090 181826280 200008908 222232120 227282850 250011135 277790150 303043800 333348180 400017816 416685225 454565700 500022270 555580300 666696360 833370450 909131400 1000044540 1111160600 1250055675 1666740900 2000089080 2500111350 3333481800 5000222700 10000445400