Search a number
-
+
135106536996 = 2232101311813137
BaseRepresentation
bin111110111010011111…
…0100010011000100100
3110220201210210012110200
41331310332202120210
54203144233140441
6142022253550500
712522031421214
oct1756476423044
9426653705420
10135106536996
1152331132a42
1222226aa5430
13c981b25462
146779780244
1537ab3117b6
hex1f74fa2624

135106536996 has 72 divisors (see below), whose sum is σ = 342254969784. Its totient is φ = 44938629120.

The previous prime is 135106536977. The next prime is 135106537057. The reversal of 135106536996 is 699635601531.

135106536996 is a `hidden beast` number, since 1 + 3 + 5 + 10 + 6 + 536 + 9 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48670536996 + 86436000000 = 220614^2 + 294000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43067140 + ... + 43070276.

It is an arithmetic number, because the mean of its divisors is an integer number (4753541247).

Almost surely, 2135106536996 is an apocalyptic number.

It is an amenable number.

135106536996 is an abundant number, since it is smaller than the sum of its proper divisors (207148432788).

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

135106536996 is a wasteful number, since it uses less digits than its factorization.

135106536996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 135106536996 in words is "one hundred thirty-five billion, one hundred six million, five hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 1013 1181 2026 2362 3039 3137 3543 4052 4724 6078 6274 7086 9117 9411 10629 12156 12548 14172 18234 18822 21258 28233 36468 37644 42516 56466 112932 1196353 2392706 3177781 3589059 3704797 4785412 6355562 7178118 7409594 9533343 10767177 11114391 12711124 14356236 14819188 19066686 21534354 22228782 28600029 33343173 38133372 43068708 44457564 57200058 66686346 114400116 133372692 3752959361 7505918722 11258878083 15011837444 22517756166 33776634249 45035512332 67553268498 135106536996