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99917910450 = 2345249672
BaseRepresentation
bin101110100001110010…
…0100101000110110010
3100112220110011202120000
41131003210211012302
53114112441113300
6113522431330430
710135026140241
oct1350344450662
9315813152500
1099917910450
1139414067aa6
1217446380a16
1395647ca247
144b9c1b2958
1528ebe21c00
hex17439251b2

99917910450 has 90 divisors (see below), whose sum is σ = 277679669421. Its totient is φ = 26639411760.

The previous prime is 99917910419. The next prime is 99917910451. The reversal of 99917910450 is 5401971999.

99917910450 is a `hidden beast` number, since 9 + 9 + 9 + 179 + 10 + 450 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97919552241 + 1998358209 = 312921^2 + 44703^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=223515.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99917910451) 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 44 ways as a sum of consecutive naturals, for example, 20113867 + ... + 20118833.

Almost surely, 299917910450 is an apocalyptic number.

99917910450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99917910450

99917910450 is an abundant number, since it is smaller than the sum of its proper divisors (177761758971).

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

99917910450 is an frugal number, since it uses more digits than its factorization.

99917910450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 99917910450 in words is "ninety-nine billion, nine hundred seventeen million, nine hundred ten thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 4967 9934 14901 24835 29802 44703 49670 74505 89406 124175 134109 149010 223515 248350 268218 372525 402327 447030 670545 745050 804654 1117575 1341090 2011635 2235150 3352725 4023270 6705450 10058175 20116350 24671089 49342178 74013267 123355445 148026534 222039801 246710890 370066335 444079602 616777225 666119403 740132670 1110199005 1233554450 1332238806 1850331675 1998358209 2220398010 3330597015 3700663350 3996716418 5550995025 6661194030 9991791045 11101990050 16652985075 19983582090 33305970150 49958955225 99917910450