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126491238720 = 263257111095233
BaseRepresentation
bin111010111001101110…
…1110010000101000000
3110002111101120201000100
41311303131302011000
54033023224114340
6134035334122400
712065366534430
oct1656335620500
9402441521010
10126491238720
1149710008920
12206217b0400
13bc0ac8b422
14619d4aa2c0
153454cc5830
hex1d73772140

126491238720 has 672 divisors, whose sum is σ = 547514922240. Its totient is φ = 26037780480.

The previous prime is 126491238703. The next prime is 126491238721. The reversal of 126491238720 is 27832194621.

126491238720 is a `hidden beast` number, since 1 + 264 + 9 + 1 + 2 + 387 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126491238721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24169224 + ... + 24174456.

Almost surely, 2126491238720 is an apocalyptic number.

126491238720 is a gapful number since it is divisible by the number (10) 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 126491238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273757461120).

126491238720 is an abundant number, since it is smaller than the sum of its proper divisors (421023683520).

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

126491238720 is a wasteful number, since it uses less digits than its factorization.

126491238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 126491238720 in words is "one hundred twenty-six billion, four hundred ninety-one million, two hundred thirty-eight thousand, seven hundred twenty".