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132242114664 = 233211166972367
BaseRepresentation
bin111101100101000111…
…1101000100001101000
3110122100011212110201200
41323022033220201220
54131312440132124
6140430131244200
712361040266542
oct1731217504150
9418304773650
10132242114664
11510a1254060
1221767749660
13c6165603ba
14658718a692
15368eaedbc9
hex1eca3e8868

132242114664 has 48 divisors (see below), whose sum is σ = 390715341120. Its totient is φ = 40073367840.

The previous prime is 132242114663. The next prime is 132242114687. The reversal of 132242114664 is 466411242231.

132242114664 is a `hidden beast` number, since 1 + 32 + 2 + 421 + 146 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132242114663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83485392 + ... + 83486975.

It is an arithmetic number, because the mean of its divisors is an integer number (8139902940).

Almost surely, 2132242114664 is an apocalyptic number.

It is an amenable number.

132242114664 is an abundant number, since it is smaller than the sum of its proper divisors (258473226456).

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

132242114664 is a wasteful number, since it uses less digits than its factorization.

132242114664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166972390 (or 166972383 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 132242114664 its reverse (466411242231), we get a palindrome (598653356895).

The spelling of 132242114664 in words is "one hundred thirty-two billion, two hundred forty-two million, one hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 166972367 333944734 500917101 667889468 1001834202 1335778936 1502751303 1836696037 2003668404 3005502606 3673392074 4007336808 5510088111 6011005212 7346784148 11020176222 12022010424 14693568296 16530264333 22040352444 33060528666 44080704888 66121057332 132242114664