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172099234160 = 245712722910567
BaseRepresentation
bin1010000001000111101…
…0011110100101110000
3121110012220001221000122
42200101322132211300
510304424400443120
6211021123505412
715301531232240
oct2402172364560
9543186057018
10172099234160
1166a94592937
122942b828268
13132c8b37489
1484887a3b20
154723cb0a25
hex2811e9e970

172099234160 has 160 divisors (see below), whose sum is σ = 462949416960. Its totient is φ = 58279689216.

The previous prime is 172099234157. The next prime is 172099234187. The reversal of 172099234160 is 61432990271.

172099234160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16281197 + ... + 16291763.

It is an arithmetic number, because the mean of its divisors is an integer number (2893433856).

Almost surely, 2172099234160 is an apocalyptic number.

172099234160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172099234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231474708480).

172099234160 is an abundant number, since it is smaller than the sum of its proper divisors (290850182800).

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

172099234160 is a wasteful number, since it uses less digits than its factorization.

172099234160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 172099234160 in words is "one hundred seventy-two billion, ninety-nine million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 229 254 280 458 508 560 635 889 916 1016 1145 1270 1603 1778 1832 2032 2290 2540 3206 3556 3664 4445 4580 5080 6412 7112 8015 8890 9160 10160 10567 12824 14224 16030 17780 18320 21134 25648 29083 32060 35560 42268 52835 58166 64120 71120 73969 84536 105670 116332 128240 145415 147938 169072 203581 211340 232664 290830 295876 369845 407162 422680 465328 581660 591752 739690 814324 845360 1017905 1163320 1183504 1342009 1479380 1628648 2035810 2326640 2419843 2684018 2958760 3257296 4071620 4839686 5368036 5917520 6710045 8143240 9394063 9679372 10736072 12099215 13420090 16286480 16938901 18788126 19358744 21472144 24198430 26840180 33877802 37576252 38717488 46970315 48396860 53680360 67755604 75152504 84694505 93940630 96793720 107360720 135511208 150305008 169389010 187881260 193587440 271022416 307320061 338778020 375762520 614640122 677556040 751525040 1229280244 1355112080 1536600305 2151240427 2458560488 3073200610 4302480854 4917120976 6146401220 8604961708 10756202135 12292802440 17209923416 21512404270 24585604880 34419846832 43024808540 86049617080 172099234160