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132326146356 = 223293374632437
BaseRepresentation
bin111101100111101000…
…0001100000100110100
3110122120000222201112120
41323033100030010310
54132000443140411
6140442332315540
712363110454105
oct1731720140464
9418500881476
10132326146356
1151134729338
122178b912bb0
13c62aaa28b1
1465943c23ac
15369719c106
hex1ecf40c134

132326146356 has 96 divisors (see below), whose sum is σ = 321179389440. Its totient is φ = 42352257024.

The previous prime is 132326146349. The next prime is 132326146391. The reversal of 132326146356 is 653641623231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54297570 + ... + 54300006.

It is an arithmetic number, because the mean of its divisors is an integer number (3345618640).

Almost surely, 2132326146356 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 132326146356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160589694720).

132326146356 is an abundant number, since it is smaller than the sum of its proper divisors (188853243084).

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

132326146356 is a wasteful number, since it uses less digits than its factorization.

132326146356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3271 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

Adding to 132326146356 its reverse (653641623231), we get a palindrome (785967769587).

The spelling of 132326146356 in words is "one hundred thirty-two billion, three hundred twenty-six million, one hundred forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 337 348 463 674 926 1011 1348 1389 1852 2022 2437 2778 4044 4874 5556 7311 9748 9773 13427 14622 19546 26854 29244 29319 39092 40281 53708 58638 70673 80562 117276 141346 156031 161124 212019 282692 312062 424038 468093 624124 821269 848076 936186 1128331 1642538 1872372 2256662 2463807 3285076 3384993 4513324 4524899 4927614 6769986 9049798 9855228 13539972 13574697 18099596 23816801 27149394 32721599 47633602 54298788 65443198 71450403 95267204 98164797 130886396 142900806 196329594 285801612 380247547 392659188 760495094 1140742641 1520990188 2281485282 4562970564 11027178863 22054357726 33081536589 44108715452 66163073178 132326146356