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12752342153376 = 2537174792330431
BaseRepresentation
bin1011100110010010001011…
…0100101111100010100000
31200011010000122120101120120
42321210202310233202200
53132413244042402001
643042202313240240
72454216632550210
oct271444264574240
950133018511516
1012752342153376
114077268768aa1
12151b5a5703080
13716704c103c7
143213066d6240
15171ab72b9236
hexb9922d2f8a0

12752342153376 has 192 divisors, whose sum is σ = 40592023879680. Its totient is φ = 3422040698880.

The previous prime is 12752342153363. The next prime is 12752342153471. The reversal of 12752342153376 is 67335124325721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4306881 + ... + 6637311.

It is an arithmetic number, because the mean of its divisors is an integer number (211416791040).

Almost surely, 212752342153376 is an apocalyptic number.

12752342153376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752342153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296011939840).

12752342153376 is an abundant number, since it is smaller than the sum of its proper divisors (27839681726304).

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

12752342153376 is a wasteful number, since it uses less digits than its factorization.

12752342153376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330947 (or 2330939 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The spelling of 12752342153376 in words is "twelve trillion, seven hundred fifty-two billion, three hundred forty-two million, one hundred fifty-three thousand, three hundred seventy-six".