Search a number
-
+
99999999991808 = 21379343186649
BaseRepresentation
bin10110101111001100010000…
…011110100010000000000000
3111010001220110221022010001022
4112233030100132202000000
5101101344444444214213
6552403211002325012
730030522136106330
oct2657142036420000
9433056427263038
1099999999991808
1129954842001004
12b2708057b9768
1343a4c621422b7
141a9a050c0d0c0
15b863697bc308
hex5af3107a2000

99999999991808 has 112 divisors (see below), whose sum is σ = 228583165286400. Its totient is φ = 42852326178816.

The previous prime is 99999999991807. The next prime is 99999999991831. The reversal of 99999999991808 is 80819999999999.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 99999999991696 and 99999999991705.

It is not an unprimeable number, because it can be changed into a prime (99999999991807) 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 7 ways as a sum of consecutive naturals, for example, 535671668 + ... + 535858316.

Almost surely, 299999999991808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99999999991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114291582643200).

99999999991808 is an abundant number, since it is smaller than the sum of its proper divisors (128583165294592).

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

99999999991808 is an equidigital number, since it uses as much as digits as its factorization.

99999999991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196025 (or 196001 counting only the distinct ones).

The product of its (nonzero) digits is 223154201664, while the sum is 107.

The spelling of 99999999991808 in words is "ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 9343 14336 18686 28672 37372 57344 65401 74744 130802 149488 186649 261604 298976 373298 523208 597952 746596 1046416 1195904 1306543 1493192 2092832 2391808 2613086 2986384 4185664 4783616 5226172 5972768 8371328 9567232 10452344 11945536 16742656 19134464 20904688 23891072 33485312 38268928 41809376 47782144 66970624 76537856 83618752 95564288 133941248 167237504 191128576 267882496 334475008 382257152 535764992 668950016 764514304 1337900032 1529028608 1743861607 2675800064 3487723214 5351600128 6975446428 10703200256 12207031249 13950892856 24414062498 27901785712 48828124996 55803571424 97656249992 111607142848 195312499984 223214285696 390624999968 446428571392 781249999936 892857142784 1562499999872 1785714285568 3124999999744 3571428571136 6249999999488 7142857142272 12499999998976 14285714284544 24999999997952 49999999995904 99999999991808