Search a number
-
+
33064681144 = 23111919775527
BaseRepresentation
bin11110110010110011…
…101111111010111000
310011100100000211120011
4132302303233322320
51020204024244034
623104550511304
72250242103205
oct366263577270
9104310024504
1033064681144
1113028172370
1264a9365534
13316c2a51b1
14185948acac
15cd7be7864
hex7b2cefeb8

33064681144 has 32 divisors (see below), whose sum is σ = 71191900800. Its totient is φ = 14238378720.

The previous prime is 33064681109. The next prime is 33064681171. The reversal of 33064681144 is 44118646033.

It is a junction number, because it is equal to n+sod(n) for n = 33064681097 and 33064681106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9886092 + ... + 9889435.

It is an arithmetic number, because the mean of its divisors is an integer number (2224746900).

Almost surely, 233064681144 is an apocalyptic number.

It is an amenable number.

33064681144 is an abundant number, since it is smaller than the sum of its proper divisors (38127219656).

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

33064681144 is a wasteful number, since it uses less digits than its factorization.

33064681144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775563 (or 19775559 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 33064681144 in words is "thirty-three billion, sixty-four million, six hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 19775527 39551054 79102108 158204216 217530797 375735013 435061594 751470026 870123188 1502940052 1740246376 3005880104 4133085143 8266170286 16532340572 33064681144