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126481420296 = 23357113197281
BaseRepresentation
bin111010111001011100…
…0010101000000001000
3110002110201002212200000
41311302320111000020
54033013220422141
6134034343443000
712065220222330
oct1656270250010
9402421085600
10126481420296
1149705512120
122061a456460
13bc08c313ca
14619c0720c0
153453ed65b6
hex1d72e15008

126481420296 has 768 divisors, whose sum is σ = 463541944320. Its totient is φ = 31352832000.

The previous prime is 126481420277. The next prime is 126481420313. The reversal of 126481420296 is 692024184621.

It is a happy number.

126481420296 is a `hidden beast` number, since 1 + 2 + 64 + 81 + 420 + 2 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450111676 + ... + 450111956.

It is an arithmetic number, because the mean of its divisors is an integer number (603570240).

Almost surely, 2126481420296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126481420296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231770972160).

126481420296 is an abundant number, since it is smaller than the sum of its proper divisors (337060524024).

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

126481420296 is a wasteful number, since it uses less digits than its factorization.

126481420296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 126481420296 in words is "one hundred twenty-six billion, four hundred eighty-one million, four hundred twenty thousand, two hundred ninety-six".