Search a number
-
+
32312579013 = 32111341959921
BaseRepresentation
bin11110000101111110…
…101101001111000101
310002101220211002101200
4132011332231033011
51012134010012023
622502202413113
72222510250501
oct360576551705
9102356732350
1032312579013
1112781676960
126319501199
13307c522950
1417c762d301
15c91b82743
hex785fad3c5

32312579013 has 48 divisors (see below), whose sum is σ = 54965252160. Its totient is φ = 18033523200.

The previous prime is 32312578993. The next prime is 32312579053. The reversal of 32312579013 is 31097521323.

It is a happy number.

It is not a de Polignac number, because 32312579013 - 25 = 32312578981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32312579053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509293 + ... + 569213.

It is an arithmetic number, because the mean of its divisors is an integer number (1145109420).

Almost surely, 232312579013 is an apocalyptic number.

32312579013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32312579013 is a deficient number, since it is larger than the sum of its proper divisors (22652673147).

32312579013 is a wasteful number, since it uses less digits than its factorization.

32312579013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60370 (or 60367 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 32312579013 its sum of digits (36), we get a square (32312579049 = 1797572).

The spelling of 32312579013 in words is "thirty-two billion, three hundred twelve million, five hundred seventy-nine thousand, thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 419 429 1257 1287 3771 4609 5447 13827 16341 41481 49023 59917 59921 179751 179763 539253 539289 659131 778973 1977393 2336919 5932179 7010757 8568703 25106899 25706109 75320697 77118327 225962091 276175889 326389687 828527667 979169061 2485583001 2937507183 3590286557 10770859671 32312579013