Search a number
-
+
135033555564 = 22328345191953
BaseRepresentation
bin111110111000010100…
…0001000101001101100
3110220112201110100202200
41331300220020221230
54203022042234224
6142011125421500
712520154166315
oct1756050105154
9426481410680
10135033555564
11522a3a15a06
122220656a890
13c96c98188b
14676dbc360c
1537a4be75c9
hex1f70a08a6c

135033555564 has 36 divisors (see below), whose sum is σ = 345447296376. Its totient is φ = 44468880768.

The previous prime is 135033555551. The next prime is 135033555577. The reversal of 135033555564 is 465555330531.

135033555564 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 35 + 55 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (135033555551) and next prime (135033555577).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1350335555642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22592989 + ... + 22598964.

Almost surely, 2135033555564 is an apocalyptic number.

It is an amenable number.

135033555564 is an abundant number, since it is smaller than the sum of its proper divisors (210413740812).

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

135033555564 is a wasteful number, since it uses less digits than its factorization.

135033555564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45192046 (or 45192041 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 135033555564 in words is "one hundred thirty-five billion, thirty-three million, five hundred fifty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 45191953 90383906 135575859 180767812 271151718 406727577 542303436 813455154 1626910308 3750932099 7501864198 11252796297 15003728396 22505592594 33758388891 45011185188 67516777782 135033555564