Search a number
-
+
132151131323064 = 2332735351114809
BaseRepresentation
bin11110000011000011010101…
…001111010011101010111000
3122022220112011120002211002200
4132003003111033103222320
5114310131004104314224
61145021220331430200
736556414141233000
oct3603032517235270
9568815146084080
10132151131323064
113911aa865059a7
12129a39365b5360
135897a4b895929
14248c212773000
15104284a6275c9
hex7830d53d3ab8

132151131323064 has 96 divisors (see below), whose sum is σ = 417386955180000. Its totient is φ = 37757466085248.

The previous prime is 132151131323017. The next prime is 132151131323087. The reversal of 132151131323064 is 460323131151231.

132151131323064 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 51 + 1 + 313 + 230 + 64 = 666.

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

It is a congruent number.

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, 2675532709 + ... + 2675582100.

It is an arithmetic number, because the mean of its divisors is an integer number (4347780783125).

Almost surely, 2132151131323064 is an apocalyptic number.

132151131323064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132151131323064 is an abundant number, since it is smaller than the sum of its proper divisors (285235823856936).

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

132151131323064 is a wasteful number, since it uses less digits than its factorization.

132151131323064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351114842 (or 5351114821 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 132151131323064 its reverse (460323131151231), we get a palindrome (592474262474295).

The spelling of 132151131323064 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 12348 24696 5351114809 10702229618 16053344427 21404459236 32106688854 37457803663 42808918472 48160033281 64213377708 74915607326 96320066562 112373410989 128426755416 149831214652 192640133124 224746821978 262204625641 299662429304 337120232967 385280266248 449493643956 524409251282 674240465934 786613876923 898987287912 1048818502564 1348480931868 1573227753846 1835432379487 2097637005128 2359841630769 2696961863736 3146455507692 3670864758974 4719683261538 5506297138461 6292911015384 7341729517948 9439366523076 11012594276922 14683459035896 16518891415383 18878733046152 22025188553844 33037782830766 44050377107688 66075565661532 132151131323064