Search a number
-
+
133432321649 = 111719476113099
BaseRepresentation
bin111110001000100101…
…1111010011001110001
3110202102010110020202212
41330101023322121301
54141232133243044
6141144205421505
712432402010004
oct1742113723161
9422363406685
10133432321649
11516520811a0
1221a3a26a895
13c7760062a3
14665b28b53b
15370e352a9e
hex1f112fa671

133432321649 has 64 divisors (see below), whose sum is σ = 168417792000. Its totient is φ = 104113382400.

The previous prime is 133432321637. The next prime is 133432321651. The reversal of 133432321649 is 946123234331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133432321649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133432321619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10179902 + ... + 10193000.

It is an arithmetic number, because the mean of its divisors is an integer number (2631528000).

Almost surely, 2133432321649 is an apocalyptic number.

133432321649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

133432321649 is a deficient number, since it is larger than the sum of its proper divisors (34985470351).

133432321649 is a wasteful number, since it uses less digits than its factorization.

133432321649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254.

The product of its digits is 279936, while the sum is 41.

The spelling of 133432321649 in words is "one hundred thirty-three billion, four hundred thirty-two million, three hundred twenty-one thousand, six hundred forty-nine".

Divisors: 1 11 17 19 47 61 187 209 323 517 671 799 893 1037 1159 2867 3553 8789 9823 11407 12749 13099 15181 19703 31537 48739 54473 144089 166991 216733 222683 248881 536129 599203 615653 799039 926041 2449513 2737691 4230977 6772183 8789429 10186451 10466101 11697407 13583663 15181741 37554833 46540747 115127111 128671477 149420293 166999151 198855919 258089597 413103163 638432161 713541827 2187415109 2838985567 7022753771 7848960097 12130211059 133432321649