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12248977950 = 23452111929499
BaseRepresentation
bin10110110100001100…
…01001001000011110
31011121122121112220000
423122012021020132
5200041214243300
65343242035130
7612353410656
oct133206111036
934548545800
1012248977950
115216257480
12245a1a8aa6
131202909c61
14842b0d366
154ba551c00
hex2da18921e

12248977950 has 480 divisors, whose sum is σ = 40510800000. Its totient is φ = 2710713600.

The previous prime is 12248977927. The next prime is 12248977967. The reversal of 12248977950 is 5977984221.

12248977950 is a `hidden beast` number, since 1 + 2 + 2 + 489 + 77 + 95 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24546801 + ... + 24547299.

It is an arithmetic number, because the mean of its divisors is an integer number (84397500).

Almost surely, 212248977950 is an apocalyptic number.

12248977950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12248977950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400000).

12248977950 is an abundant number, since it is smaller than the sum of its proper divisors (28261822050).

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

12248977950 is a wasteful number, since it uses less digits than its factorization.

12248977950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12248977950 in words is "twelve billion, two hundred forty-eight million, nine hundred seventy-seven thousand, nine hundred fifty".