Search a number
-
+
99910123292 = 227217232295693
BaseRepresentation
bin101110100001100011…
…0110111111100011100
3100112212220112010120202
41131003012313330130
53114103442421132
6113521552403032
710134603015200
oct1350306677434
9315786463522
1099910123292
113940a729431
1217443846478
139563001965
144b9b146b00
1528eb3d4762
hex17431b7f1c

99910123292 has 144 divisors (see below), whose sum is σ = 225736580160. Its totient is φ = 38372640768.

The previous prime is 99910123283. The next prime is 99910123319. The reversal of 99910123292 is 29232101999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17546798 + ... + 17552490.

It is an arithmetic number, because the mean of its divisors is an integer number (1567615140).

Almost surely, 299910123292 is an apocalyptic number.

99910123292 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

99910123292 is the 258083-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99910123292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112868290080).

99910123292 is an abundant number, since it is smaller than the sum of its proper divisors (125826456868).

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

99910123292 is a wasteful number, since it uses less digits than its factorization.

99910123292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 47.

The spelling of 99910123292 in words is "ninety-nine billion, nine hundred ten million, one hundred twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 119 161 196 229 238 322 391 458 476 644 782 833 916 1127 1564 1603 1666 2254 2737 3206 3332 3893 4508 5267 5474 5693 6412 7786 10534 10948 11221 11386 15572 19159 21068 22442 22772 27251 36869 38318 39851 44884 54502 73738 76636 79702 89539 96781 109004 130939 147476 159404 179078 190757 193562 258083 261878 278957 358156 381514 387124 516166 523756 557914 626773 677467 763028 916573 1032332 1115828 1253546 1303697 1354934 1833146 2225963 2507092 2607394 2709868 3666292 4387411 4451926 4742269 5214788 6416011 8774822 8903852 9125879 9484538 12832022 15581741 17549644 18251758 18969076 22162849 25664044 29985031 31163482 36503516 44325698 59970062 62326964 63881153 88651396 109072187 119940124 127762306 155139943 209895217 218144374 255524612 310279886 419790434 436288748 509745527 620559772 839580868 1019491054 1085979601 1469266519 2038982108 2171959202 2938533038 3568218689 4343918404 5877066076 7136437378 14272874756 24977530823 49955061646 99910123292