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11671426619136 = 283417241137383
BaseRepresentation
bin1010100111010111011100…
…1111001101011100000000
31112022202222210021221020000
42221311313033031130000
53012211040203303021
640453440202120000
72313142555241424
oct251656717153400
945282883257200
1011671426619136
11379a908064659
1213860011b0000
136687c2c3782b
142c4c85ab2b84
15153901ed9b26
hexa9d773cd700

11671426619136 has 360 divisors, whose sum is σ = 37002434493024. Its totient is φ = 3646404034560.

The previous prime is 11671426619117. The next prime is 11671426619137. The reversal of 11671426619136 is 63191662417611.

11671426619136 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 4 + 2 + 6 + 619 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671426619137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84886701 + ... + 85024083.

Almost surely, 211671426619136 is an apocalyptic number.

11671426619136 is a gapful number since it is divisible by the number (16) 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 11671426619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501217246512).

11671426619136 is an abundant number, since it is smaller than the sum of its proper divisors (25331007873888).

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

11671426619136 is a wasteful number, since it uses less digits than its factorization.

11671426619136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137669 (or 137646 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 11671426619136 in words is "eleven trillion, six hundred seventy-one billion, four hundred twenty-six million, six hundred nineteen thousand, one hundred thirty-six".