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99893101825 = 52112199411847
BaseRepresentation
bin101110100001000010…
…1111100010100000001
3100112211201111100112001
41131002011330110001
53114040113224300
6113520143504001
710134305233006
oct1350205742401
9315751440461
1099893101825
1139401062a00
1217439bb8001
13955c62219a
144b98b958ad
1528e9b7116a
hex174217c501

99893101825 has 72 divisors (see below), whose sum is σ = 143547687360. Its totient is φ = 68715504000.

The previous prime is 99893101811. The next prime is 99893101859. The reversal of 99893101825 is 52810139899.

99893101825 is a nontrivial binomial coefficient, being equal to C(446975, 2).

It is not a de Polignac number, because 99893101825 - 27 = 99893101697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54083052 + ... + 54084898.

It is an arithmetic number, because the mean of its divisors is an integer number (1993717880).

Almost surely, 299893101825 is an apocalyptic number.

99893101825 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

99893101825 is the 446974-th triangular number.

99893101825 is the 148992-nd centered nonagonal number.

It is an amenable number.

99893101825 is a deficient number, since it is larger than the sum of its proper divisors (43654585535).

99893101825 is a wasteful number, since it uses less digits than its factorization.

99893101825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 55.

The spelling of 99893101825 in words is "ninety-nine billion, eight hundred ninety-three million, one hundred one thousand, eight hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 121 209 275 475 605 941 1045 1847 2299 3025 4705 5225 9235 10351 11495 17879 20317 23525 35093 46175 51755 57475 89395 101585 113861 175465 196669 223487 258775 386023 446975 507925 569305 877325 983345 1117435 1738027 1930115 2163359 2846525 4246253 4916725 5587175 8690135 9650575 10816795 19118297 21231265 33022513 43450675 54083975 95591485 106156325 165112565 210301267 363247643 477957425 825562825 1051506335 1816238215 3995724073 5257531675 9081191075 19978620365 99893101825