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99926480432 = 24232838591117
BaseRepresentation
bin101110100010000010…
…1010001011000110000
3100112221001022011100202
41131010011101120300
53114122134333212
6113523335134332
710135162032512
oct1350405213060
9315831264322
1099926480432
1139418990829
12174492143a8
13956650ac3c
144b9d3a3bb2
1528eca660c2
hex1744151630

99926480432 has 80 divisors (see below), whose sum is σ = 203156878080. Its totient is φ = 47524029696.

The previous prime is 99926480431. The next prime is 99926480473. The reversal of 99926480432 is 23408462999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99926480431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89459138 + ... + 89460254.

It is an arithmetic number, because the mean of its divisors is an integer number (2539460976).

Almost surely, 299926480432 is an apocalyptic number.

99926480432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is a pronic number, being equal to 316111×316112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99926480432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101578439040).

99926480432 is an abundant number, since it is smaller than the sum of its proper divisors (103230397648).

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

99926480432 is a wasteful number, since it uses less digits than its factorization.

99926480432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 99926480432 in words is "ninety-nine billion, nine hundred twenty-six million, four hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 283 368 566 859 1117 1132 1718 2234 2264 3436 4468 4528 6509 6872 8936 13018 13744 17872 19757 25691 26036 39514 51382 52072 79028 102764 104144 158056 205528 243097 316111 316112 411056 486194 632222 959503 972388 1264444 1919006 1944776 2528888 3838012 3889552 5057776 5591231 7270553 7676024 11182462 14541106 15352048 22068569 22364924 29082212 44137138 44729848 58164424 88274276 89459696 116328848 176548552 271539349 353097104 543078698 1086157396 2172314792 4344629584 6245405027 12490810054 24981620108 49963240216 99926480432