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132155323511512 = 237107117771872743
BaseRepresentation
bin11110000011000111001111…
…000111001111001011011000
3122022220220222201110001112111
4132003013033013033023120
5114310213100304332022
61145023152324522104
736556623054240520
oct3603071707171330
9568826881401474
10132155323511512
1139121837927154
12129a4706550334
135898269267c02
14248c4cd434680
1510429e36b2477
hex7831cf1cf2d8

132155323511512 has 64 divisors (see below), whose sum is σ = 285861037662720. Its totient is φ = 56103874510848.

The previous prime is 132155323511437. The next prime is 132155323511513. The reversal of 132155323511512 is 215115323551231.

It is a super-2 number, since 2×1321553235115122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132155323511513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69631413 + ... + 71504155.

It is an arithmetic number, because the mean of its divisors is an integer number (4466578713480).

Almost surely, 2132155323511512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132155323511512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142930518831360).

132155323511512 is an abundant number, since it is smaller than the sum of its proper divisors (153705714151208).

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

132155323511512 is a wasteful number, since it uses less digits than its factorization.

132155323511512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884640 (or 1884636 counting only the distinct ones).

The product of its digits is 135000, while the sum is 40.

The spelling of 132155323511512 in words is "one hundred thirty-two trillion, one hundred fifty-five billion, three hundred twenty-three million, five hundred eleven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5992 11777 23554 47108 82439 94216 164878 329756 659512 1260139 1872743 2520278 3745486 5040556 7490972 8820973 10081112 13109201 14981944 17641946 26218402 35283892 52436804 70567784 104873608 200383501 400767002 801534004 1402684507 1603068008 2805369014 5610738028 11221476056 22055294311 44110588622 88221177244 154387060177 176442354488 308774120354 617548240708 1235096481416 2359916491277 4719832982554 9439665965108 16519415438939 18879331930216 33038830877878 66077661755756 132155323511512