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12965750784 = 211337194143
BaseRepresentation
bin11000001001101000…
…11010100000000000
31020110121100101101000
430010310122200000
5203023213011114
65542325012000
7636206030460
oct140464324000
936417311330
1012965750784
115553912518
12261a254000
1312b826c8ac
148addb1ba0
1550d438e09
hex304d1a800

12965750784 has 768 divisors, whose sum is σ = 48432384000. Its totient is φ = 3344302080.

The previous prime is 12965750783. The next prime is 12965750797. The reversal of 12965750784 is 48705756921.

12965750784 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 57 + 507 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×129657507842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12965750784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12965750783) 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, 301529067 + ... + 301529109.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 212965750784 is an apocalyptic number.

12965750784 is a gapful number since it is divisible by the number (14) 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 12965750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192000).

12965750784 is an abundant number, since it is smaller than the sum of its proper divisors (35466633216).

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

12965750784 is a wasteful number, since it uses less digits than its factorization.

12965750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12965750784 in words is "twelve billion, nine hundred sixty-five million, seven hundred fifty thousand, seven hundred eighty-four".