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12495782250 = 2335371931449
BaseRepresentation
bin10111010001100111…
…01000000101101010
31012020212000111202000
423220303220011222
5201042410013000
65423535551430
7621441253020
oct135063500552
935225014660
1012495782250
1153325a8176
12250898b576
131241aa0bc3
148677d6710
154d2054000
hex2e8ce816a

12495782250 has 512 divisors, whose sum is σ = 43130880000. Its totient is φ = 2612736000.

The previous prime is 12495782249. The next prime is 12495782293. The reversal of 12495782250 is 5228759421.

12495782250 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 578 + 22 + 50 = 666.

It is a super-2 number, since 2×124957822502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12495782196 and 12495782205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27830026 + ... + 27830474.

It is an arithmetic number, because the mean of its divisors is an integer number (84240000).

Almost surely, 212495782250 is an apocalyptic number.

12495782250 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 12495782250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440000).

12495782250 is an abundant number, since it is smaller than the sum of its proper divisors (30635097750).

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

12495782250 is a wasteful number, since it uses less digits than its factorization.

12495782250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12495782250 in words is "twelve billion, four hundred ninety-five million, seven hundred eighty-two thousand, two hundred fifty".