Search a number
-
+
172363465705340 = 225713104107909691
BaseRepresentation
bin100111001100001101111111…
…001001010100011101111100
3211121021210020021122001111202
4213030031333021110131330
5140043000334210032330
61410330403310435032
751206564234626640
oct4714157711243574
9747253207561452
10172363465705340
114aa13a31980128
12173b923bb02a78
137523a6098c6c0
14307c617110c20
1514dd88158a445
hex9cc37f25477c

172363465705340 has 96 divisors (see below), whose sum is σ = 445498034118144. Its totient is φ = 54549611792640.

The previous prime is 172363465705339. The next prime is 172363465705349. The reversal of 172363465705340 is 43507564363271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172363465705349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189019895 + ... + 189929585.

It is an arithmetic number, because the mean of its divisors is an integer number (4640604522064).

Almost surely, 2172363465705340 is an apocalyptic number.

172363465705340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172363465705340 is an abundant number, since it is smaller than the sum of its proper divisors (273134568412804).

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

172363465705340 is a wasteful number, since it uses less digits than its factorization.

172363465705340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013827 (or 1013825 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 56.

The spelling of 172363465705340 in words is "one hundred seventy-two trillion, three hundred sixty-three billion, four hundred sixty-five million, seven hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 104107 208214 416428 520535 728749 909691 1041070 1353391 1457498 1819382 2082140 2706782 2914996 3638764 3643745 4548455 5413564 6367837 6766955 7287490 9096910 9473737 11825983 12735674 13533910 14574980 18193820 18947474 23651966 25471348 27067820 31839185 37894948 47303932 47368685 59129915 63678370 82781881 94737370 118259830 127356740 165563762 189474740 236519660 331127524 413909405 827818810 1655637620 94705200937 189410401874 378820803748 473526004685 662936406559 947052009370 1231167612181 1325872813118 1894104018740 2462335224362 2651745626236 3314682032795 4924670448724 6155838060905 6629364065590 8618173285267 12311676121810 13258728131180 17236346570534 24623352243620 34472693141068 43090866426335 86181732852670 172363465705340