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12965749380 = 22345173115187
BaseRepresentation
bin11000001001101000…
…11010001010000100
31020110121100022110000
430010310122022010
5203023212440010
65542325001300
7636206023413
oct140464321204
936417308400
1012965749380
115553911461
12261a253230
1312b826c06c
148addb147a
1550d4387c0
hex304d1a284

12965749380 has 240 divisors, whose sum is σ = 44458799616. Its totient is φ = 3148968960.

The previous prime is 12965749367. The next prime is 12965749399. The reversal of 12965749380 is 8394756921.

12965749380 is a `hidden beast` number, since 1 + 29 + 6 + 57 + 493 + 80 = 666.

It is a super-2 number, since 2×129657493802 (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 846147 + ... + 861333.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12965749380 = 25931498760, but 3⋅12965749380 = 38897248140 is not.

Almost surely, 212965749380 is an apocalyptic number.

12965749380 is a gapful number since it is divisible by the number (10) 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 12965749380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229399808).

12965749380 is an abundant number, since it is smaller than the sum of its proper divisors (31493050236).

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

12965749380 is a wasteful number, since it uses less digits than its factorization.

12965749380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15256 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12965749380 in words is "twelve billion, nine hundred sixty-five million, seven hundred forty-nine thousand, three hundred eighty".