Search a number
-
+
171221543432 = 231721096591031
BaseRepresentation
bin1001111101110110011…
…0010110101000001000
3121100221201112121200122
42133131212112220020
510301130203342212
6210354051522412
715241013051162
oct2373546265010
9540851477618
10171221543432
11666841088a5
12292258b9408
13131b9052354
148403db3932
1546c1bde272
hex27dd996a08

171221543432 has 96 divisors (see below), whose sum is σ = 345021336000. Its totient is φ = 79637160960.

The previous prime is 171221543431. The next prime is 171221543443. The reversal of 171221543432 is 234345122171.

It is a happy number.

171221543432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 171221543392 and 171221543401.

It is not an unprimeable number, because it can be changed into a prime (171221543431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166072757 + ... + 166073787.

It is an arithmetic number, because the mean of its divisors is an integer number (3593972250).

Almost surely, 2171221543432 is an apocalyptic number.

It is an amenable number.

171221543432 is an abundant number, since it is smaller than the sum of its proper divisors (173799792568).

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

171221543432 is a wasteful number, since it uses less digits than its factorization.

171221543432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1818 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The spelling of 171221543432 in words is "one hundred seventy-one billion, two hundred twenty-one million, five hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 34 68 109 136 218 289 436 578 659 872 1031 1156 1318 1853 2062 2312 2636 3706 4124 5272 7412 8248 11203 14824 17527 22406 31501 35054 44812 63002 70108 71831 89624 112379 126004 140216 143662 190451 224758 252008 287324 297959 380902 449516 574648 595918 679429 761804 899032 1191836 1221127 1358858 1523608 1910443 2383672 2442254 2717716 3820886 4884508 5435432 7641772 9769016 11550293 15283544 20759159 23100586 32477531 41518318 46201172 64955062 74057761 83036636 92402344 129910124 148115522 166073272 196354981 259820248 296231044 392709962 592462088 785419924 1258981937 1570839848 2517963874 5035927748 10071855496 21402692929 42805385858 85610771716 171221543432