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132177423168 = 2632724683157
BaseRepresentation
bin111101100011001100…
…0110110101101000000
3110122011200010210200100
41323012120312231000
54131144410020133
6140415500522400
712356323362600
oct1730630665500
9418150123610
10132177423168
115106878940a
1221749b50400
13c60602cbcb
14657c74ac00
1536890c0e13
hex1ec6636b40

132177423168 has 126 divisors (see below), whose sum is σ = 440717949906. Its totient is φ = 37764969984.

The previous prime is 132177423167. The next prime is 132177423223. The reversal of 132177423168 is 861324771231.

132177423168 is a `hidden beast` number, since 1 + 3 + 217 + 7 + 423 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129980438784 + 2196984384 = 360528^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-4 number, since 4×1321774231684 (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132177423167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2313355 + ... + 2369802.

Almost surely, 2132177423168 is an apocalyptic number.

132177423168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132177423168 is an abundant number, since it is smaller than the sum of its proper divisors (308540526738).

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

132177423168 is a wasteful number, since it uses less digits than its factorization.

132177423168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683189 (or 4683169 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 132177423168 in words is "one hundred thirty-two billion, one hundred seventy-seven million, four hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 4683157 9366314 14049471 18732628 28098942 32782099 37465256 42148413 56197884 65564198 74930512 84296826 98346297 112395768 131128396 149861024 168593652 196692594 224791536 229474693 262256792 295038891 299722048 337187304 393385188 449583072 458949386 524513584 590077782 674374608 688424079 786770376 899166144 917898772 1049027168 1180155564 1348749216 1376848158 1573540752 1835797544 2065272237 2098054336 2360311128 2697498432 2753696316 3147081504 3671595088 4130544474 4720622256 5507392632 6294163008 7343190176 8261088948 9441244512 11014785264 14686380352 16522177896 18882489024 22029570528 33044355792 44059141056 66088711584 132177423168