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126718952640 = 26357192343151
BaseRepresentation
bin111011000000100001…
…0011100010011000000
3110010002021001202210020
41312001002130103000
54034010022441030
6134114110533440
712104133216420
oct1660102342300
9403067052706
10126718952640
11498175aa745
1220685b07280
13bc461c9ca7
1461c1824480
153469ca6510
hex1d8109c4c0

126718952640 has 448 divisors, whose sum is σ = 505064816640. Its totient is φ = 26246246400.

The previous prime is 126718952623. The next prime is 126718952707. The reversal of 126718952640 is 46259817621.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2915065 + ... + 2958215.

Almost surely, 2126718952640 is an apocalyptic number.

126718952640 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 126718952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252532408320).

126718952640 is an abundant number, since it is smaller than the sum of its proper divisors (378345864000).

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

126718952640 is a wasteful number, since it uses less digits than its factorization.

126718952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43220 (or 43210 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 126718952640 in words is "one hundred twenty-six billion, seven hundred eighteen million, nine hundred fifty-two thousand, six hundred forty".