Search a number
-
+
126094963456 = 28711219127241
BaseRepresentation
bin111010101101111011…
…0000111001100000000
3110001110202220211112201
41311123312013030000
54031220302312311
6133532140402544
712052515335110
oct1653366071400
9401422824481
10126094963456
1149527357400
1220530b46454
13bb76b52317
1461629d5040
1534300ea9c1
hex1d5bd87300

126094963456 has 432 divisors, whose sum is σ = 336835502080. Its totient is φ = 45984153600.

The previous prime is 126094963451. The next prime is 126094963483. The reversal of 126094963456 is 654369490621.

It is a junction number, because it is equal to n+sod(n) for n = 126094963397 and 126094963406.

It is not an unprimeable number, because it can be changed into a prime (126094963451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523215496 + ... + 523215736.

Almost surely, 2126094963456 is an apocalyptic number.

126094963456 is a gapful number since it is divisible by the number (16) 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 126094963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168417751040).

126094963456 is an abundant number, since it is smaller than the sum of its proper divisors (210740538624).

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

126094963456 is a wasteful number, since it uses less digits than its factorization.

126094963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 126094963456 in words is "one hundred twenty-six billion, ninety-four million, nine hundred sixty-three thousand, four hundred fifty-six".