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12061426937040 = 2432513299124153
BaseRepresentation
bin1010111110000100010100…
…0100010110110011010000
31120201001122120200211011200
42233201011010112303100
53040103300243441130
641352535410311200
72353260255243345
oct257410504266320
946631576624150
1012061426937040
11393024a079878
121429703588500
1369650696a300
142d9ac1b967cc
1515db2aa89760
hexaf845116cd0

12061426937040 has 180 divisors, whose sum is σ = 43861843400076. Its totient is φ = 2968966600704.

The previous prime is 12061426936997. The next prime is 12061426937069. The reversal of 12061426937040 is 4073962416021.

12061426937040 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 14 + 269 + 370 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3233825344656 + 8827601592384 = 1798284^2 + 2971128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×120614269370402 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49440397 + ... + 49683756.

Almost surely, 212061426937040 is an apocalyptic number.

12061426937040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12061426937040 is an abundant number, since it is smaller than the sum of its proper divisors (31800416463036).

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

12061426937040 is a wasteful number, since it uses less digits than its factorization.

12061426937040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99124198 (or 99124176 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12061426937040 in words is "twelve trillion, sixty-one billion, four hundred twenty-six million, nine hundred thirty-seven thousand, forty".