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12357675802752 = 27379757782141
BaseRepresentation
bin1011001111010011111011…
…1000000110000010000000
31121202101022200012111001020
42303310332320012002000
53104432010001142002
642141012103505440
72413545504121320
oct263647670060200
947671280174036
1012357675802752
113a34951910395
121477000758280
136b84295b0817
1430a186a47280
151666b8c812bc
hexb3d3ee06080

12357675802752 has 256 divisors, whose sum is σ = 37967267815680. Its totient is φ = 3488266321920.

The previous prime is 12357675802741. The next prime is 12357675802757. The reversal of 12357675802752 is 25720857675321.

It is a super-2 number, since 2×123576758027522 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12357675802757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150403602 + ... + 150485742.

It is an arithmetic number, because the mean of its divisors is an integer number (148309639905).

Almost surely, 212357675802752 is an apocalyptic number.

12357675802752 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 12357675802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983633907840).

12357675802752 is an abundant number, since it is smaller than the sum of its proper divisors (25609592012928).

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

12357675802752 is an equidigital number, since it uses as much as digits as its factorization.

12357675802752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82839 (or 82827 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 12357675802752 in words is "twelve trillion, three hundred fifty-seven billion, six hundred seventy-five million, eight hundred two thousand, seven hundred fifty-two".