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12540669750 = 2335371961229
BaseRepresentation
bin10111010110111101…
…10110111100110110
31012100222111000211000
423223132312330312
5201140402413000
65432222024130
7622524635250
oct135336667466
935328430730
1012540669750
115355976884
12251ba18046
13124b18925b
1486d75ccd0
154d5e6e000
hex2eb7b6f36

12540669750 has 512 divisors, whose sum is σ = 42711552000. Its totient is φ = 2659392000.

The previous prime is 12540669733. The next prime is 12540669773. The reversal of 12540669750 is 5796604521.

12540669750 is a `hidden beast` number, since 12 + 540 + 6 + 6 + 97 + 5 + 0 = 666.

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 = 12540669696 and 12540669705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54762636 + ... + 54762864.

It is an arithmetic number, because the mean of its divisors is an integer number (83421000).

Almost surely, 212540669750 is an apocalyptic number.

12540669750 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 12540669750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355776000).

12540669750 is an abundant number, since it is smaller than the sum of its proper divisors (30170882250).

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

12540669750 is a wasteful number, since it uses less digits than its factorization.

12540669750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12540669750 in words is "twelve billion, five hundred forty million, six hundred sixty-nine thousand, seven hundred fifty".