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2465347396512 = 2537112134373743
BaseRepresentation
bin100011111000000010001…
…001111110001110100000
322201200111022001220200210
4203320002021332032200
5310343012413142022
65124322010414120
7343054415053050
oct43700211761640
98650438056623
102465347396512
11870603374400
12339973a31340
1314b634442630
1487475797560
15441e1802a0c
hex23e0227e3a0

2465347396512 has 1152 divisors, whose sum is σ = 9093425983488. Its totient is φ = 568670699520.

The previous prime is 2465347396459. The next prime is 2465347396531. The reversal of 2465347396512 is 2156937435642.

It is a super-2 number, since 2×24653473965122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3318098413 + ... + 3318099155.

It is an arithmetic number, because the mean of its divisors is an integer number (7893598944).

Almost surely, 22465347396512 is an apocalyptic number.

2465347396512 is a gapful number since it is divisible by the number (22) 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 2465347396512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546712991744).

2465347396512 is an abundant number, since it is smaller than the sum of its proper divisors (6628078586976).

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

2465347396512 is a wasteful number, since it uses less digits than its factorization.

2465347396512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 57.

The spelling of 2465347396512 in words is "two trillion, four hundred sixty-five billion, three hundred forty-seven million, three hundred ninety-six thousand, five hundred twelve".