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12132521154 = 2321328594643
BaseRepresentation
bin10110100110010011…
…11001010011000010
31011022112110221012100
423103021321103002
5144321411134104
65323522011230
7606440504535
oct132311712302
934275427170
1012132521154
115166545796
1224271a6b16
1311b4753a00
14831476a1c
154b01eb139
hex2d32794c2

12132521154 has 72 divisors (see below), whose sum is σ = 28504036080. Its totient is φ = 3727934496.

The previous prime is 12132521111. The next prime is 12132521161. The reversal of 12132521154 is 45112523121.

It is a happy number.

12132521154 is a `hidden beast` number, since 1 + 2 + 132 + 521 + 1 + 5 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2610757 + ... + 2615399.

It is an arithmetic number, because the mean of its divisors is an integer number (395889390).

Almost surely, 212132521154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132521154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252018040).

12132521154 is an abundant number, since it is smaller than the sum of its proper divisors (16371514926).

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

12132521154 is a wasteful number, since it uses less digits than its factorization.

12132521154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5520 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 12132521154 in words is "twelve billion, one hundred thirty-two million, five hundred twenty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 859 1014 1521 1718 2577 3042 4643 5154 7731 9286 11167 13929 15462 22334 27858 33501 41787 60359 67002 83574 100503 120718 145171 181077 201006 290342 362154 435513 543231 784667 871026 1086462 1306539 1569334 2354001 2613078 3988337 4708002 7062003 7976674 11965011 14124006 23930022 35895033 51848381 71790066 103696762 155545143 311090286 466635429 674028953 933270858 1348057906 2022086859 4044173718 6066260577 12132521154