Search a number
-
+
126740233984 = 287132926469
BaseRepresentation
bin111011000001001001…
…1100111111100000000
3110010010202002222022011
41312002103213330000
54034030444441414
6134120151022304
712104512133230
oct1660223477400
9403122088264
10126740233984
1149828615731
122069106a994
13bc4a73b6c0
1461c45a3cc0
15346baabdc4
hex1d824e7f00

126740233984 has 216 divisors, whose sum is σ = 322523495840. Its totient is φ = 48402579456.

The previous prime is 126740233931. The next prime is 126740234003. The reversal of 126740233984 is 489332047621.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19588702 + ... + 19595170.

Almost surely, 2126740233984 is an apocalyptic number.

126740233984 is a gapful number since it is divisible by the number (14) 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 126740233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161261747920).

126740233984 is an abundant number, since it is smaller than the sum of its proper divisors (195783261856).

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

126740233984 is an equidigital number, since it uses as much as digits as its factorization.

126740233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 126740233984 in words is "one hundred twenty-six billion, seven hundred forty million, two hundred thirty-three thousand, nine hundred eighty-four".