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10001929192020 = 2232572089770801
BaseRepresentation
bin1001000110001100000101…
…1011111100001001010100
31022102011201122100100202200
42101203001123330021110
52302332422333121040
633134453422204500
72051421062245653
oct221430133741124
938364648310680
1010001929192020
113206881308597
121156535a23730
13577240a4036c
1426814b43519a
1512528e4ba630
hex918c16fc254

10001929192020 has 72 divisors (see below), whose sum is σ = 30339645434280. Its totient is φ = 2667140659200.

The previous prime is 10001929191979. The next prime is 10001929192033. The reversal of 10001929192020 is 2029192910001.

It can be written as a sum of positive squares in 4 ways, for example, as 101605387536 + 9900323804484 = 318756^2 + 3146478^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12590620 + ... + 13361420.

It is an arithmetic number, because the mean of its divisors is an integer number (421383964365).

Almost surely, 210001929192020 is an apocalyptic number.

10001929192020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001929192020 is an abundant number, since it is smaller than the sum of its proper divisors (20337716242260).

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

10001929192020 is a wasteful number, since it uses less digits than its factorization.

10001929192020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842905 (or 842900 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 10001929192020 in words is "ten trillion, one billion, nine hundred twenty-nine million, one hundred ninety-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72089 144178 216267 288356 360445 432534 648801 720890 770801 865068 1081335 1297602 1441780 1541602 2162670 2312403 2595204 3083204 3244005 3854005 4325340 4624806 6488010 6937209 7708010 9249612 11562015 12976020 13874418 15416020 23124030 27748836 34686045 46248060 69372090 138744180 55566273289 111132546578 166698819867 222265093156 277831366445 333397639734 500096459601 555662732890 666795279468 833494099335 1000192919202 1111325465780 1666988198670 2000385838404 2500482298005 3333976397340 5000964596010 10001929192020