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126666364240 = 24513121794581
BaseRepresentation
bin111010111110111100…
…1110101010101010000
3110002221121010000001201
41311331321311111100
54033403042123430
6134104551440544
712102624221443
oct1657571652520
9402847100051
10126666364240
114979a951259
1220670386154
13bc383466b0
1461b885565a
1534653698ca
hex1d7de75550

126666364240 has 40 divisors (see below), whose sum is σ = 317153091528. Its totient is φ = 46769118720.

The previous prime is 126666364163. The next prime is 126666364249. The reversal of 126666364240 is 42463666621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1797420816 + 124868943424 = 42396^2 + 353368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126666364249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60896251 + ... + 60898330.

Almost surely, 2126666364240 is an apocalyptic number.

126666364240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126666364240 is an abundant number, since it is smaller than the sum of its proper divisors (190486727288).

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

126666364240 is a wasteful number, since it uses less digits than its factorization.

126666364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121794607 (or 121794601 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 126666364240 in words is "one hundred twenty-six billion, six hundred sixty-six million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 121794581 243589162 487178324 608972905 974356648 1217945810 1583329553 1948713296 2435891620 3166659106 4871783240 6333318212 7916647765 9743566480 12666636424 15833295530 25333272848 31666591060 63333182120 126666364240