Search a number
-
+
33531456132 = 223217291889309
BaseRepresentation
bin11111001110101000…
…010110101010000100
310012112212100110110200
4133032220112222010
51022133023044012
623223143250500
72264640450216
oct371650265204
9105485313420
1033531456132
11132476a6319
1265b9749a30
133214bc6405
1418a14745b6
15d13b9b3dc
hex7cea16a84

33531456132 has 72 divisors (see below), whose sum is σ = 92840693400. Its totient is φ = 10156919808.

The previous prime is 33531456109. The next prime is 33531456137. The reversal of 33531456132 is 23165413533.

33531456132 is a `hidden beast` number, since 3 + 3 + 5 + 31 + 4 + 5 + 613 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13589497476 + 19941958656 = 116574^2 + 141216^2 .

It is a super-2 number, since 2×335314561322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33531456137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926907 + ... + 962402.

It is an arithmetic number, because the mean of its divisors is an integer number (1289454075).

Almost surely, 233531456132 is an apocalyptic number.

It is an amenable number.

33531456132 is an abundant number, since it is smaller than the sum of its proper divisors (59309237268).

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

33531456132 is a wasteful number, since it uses less digits than its factorization.

33531456132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889365 (or 1889360 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 33531456132 its reverse (23165413533), we get a palindrome (56696869665).

The spelling of 33531456132 in words is "thirty-three billion, five hundred thirty-one million, four hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 1889309 3778618 5667927 7557236 11335854 17003781 22671708 32118253 34007562 54789961 64236506 68015124 96354759 109579922 128473012 164369883 192709518 219159844 289064277 328739766 385419036 493109649 578128554 657479532 931429337 986219298 1156257108 1862858674 1972438596 2794288011 3725717348 5588576022 8382864033 11177152044 16765728066 33531456132