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12936677952 = 26311173159197
BaseRepresentation
bin11000000110001011…
…00000101001000000
31020101120122022221110
430003011200221000
5202443242143302
65535405523320
7635403643152
oct140305405100
936346568843
1012936677952
115539465690
122610573540
1312b2230933
148aa1a4ad2
1550aae4b6c
hex303160a40

12936677952 has 448 divisors, whose sum is σ = 41714196480. Its totient is φ = 3492249600.

The previous prime is 12936677951. The next prime is 12936677981. The reversal of 12936677952 is 25977663921.

It is a junction number, because it is equal to n+sod(n) for n = 12936677892 and 12936677901.

It is not an unprimeable number, because it can be changed into a prime (12936677951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65668318 + ... + 65668514.

Almost surely, 212936677952 is an apocalyptic number.

12936677952 is a gapful number since it is divisible by the number (12) 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 12936677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857098240).

12936677952 is an abundant number, since it is smaller than the sum of its proper divisors (28777518528).

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

12936677952 is a wasteful number, since it uses less digits than its factorization.

12936677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 57.

The spelling of 12936677952 in words is "twelve billion, nine hundred thirty-six million, six hundred seventy-seven thousand, nine hundred fifty-two".