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172364262463272 = 2331110153623120551
BaseRepresentation
bin100111001100001110101110…
…101000101101011100101000
3211121021212021210212112220210
4213030032232220231130220
5140043004002142311042
61410331014332021120
751206623051151235
oct4714165650553450
9747255253775823
10172364262463272
114aa143006a7160
12173b94229017a0
137523b59a789b9
14307c690c7478c
1514dd8cb4c1a9c
hex9cc3aea2d728

172364262463272 has 128 divisors (see below), whose sum is σ = 474751444101120. Its totient is φ = 51713056800000.

The previous prime is 172364262463223. The next prime is 172364262463297. The reversal of 172364262463272 is 272364262463271.

172364262463272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429743397 + ... + 1429863947.

It is an arithmetic number, because the mean of its divisors is an integer number (3708995657040).

Almost surely, 2172364262463272 is an apocalyptic number.

172364262463272 is a gapful number since it is divisible by the number (12) 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 172364262463272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237375722050560).

172364262463272 is an abundant number, since it is smaller than the sum of its proper divisors (302387181637848).

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

172364262463272 is a wasteful number, since it uses less digits than its factorization.

172364262463272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174295 (or 174291 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 57.

Subtracting 172364262463272 from its reverse (272364262463271), we obtain a palindrome (99999999999999).

The spelling of 172364262463272 in words is "one hundred seventy-two trillion, three hundred sixty-four billion, two hundred sixty-two million, four hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 53623 107246 120551 160869 214492 241102 321738 361653 428984 482204 589853 643476 723306 964408 1179706 1286952 1326061 1446612 1769559 2359412 2652122 2893224 3539118 3978183 4718824 5304244 5415923 7078236 7956366 10608488 10831846 12175651 14156472 15912732 16247769 21663692 24351302 31825464 32495538 36526953 43327384 48702604 59575153 64991076 73053906 97405208 119150306 129982152 133932161 146107812 178725459 238300612 267864322 292215624 357450918 401796483 476601224 535728644 714901836 803592966 1071457288 1429803672 1607185932 3214371864 6464306273 12928612546 19392918819 25857225092 38785837638 51714450184 71107369003 77571675276 142214738006 155143350552 213322107009 284429476012 426644214018 568858952024 652894933573 853288428036 1305789867146 1706576856072 1958684800719 2611579734292 3917369601438 5223159468584 7181844269303 7834739202876 14363688538606 15669478405752 21545532807909 28727377077212 43091065615818 57454754154424 86182131231636 172364262463272