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11936880903402 = 2347131765972277
BaseRepresentation
bin1010110110110100010110…
…0010111100010011101010
31120021011011202100202220000
42231231011202330103222
53031033213002402102
641215421040443430
72341261015362510
oct255550542742352
946234152322800
1011936880903402
113892448092364
121409545319576
136878489ac510
142d3a68ba04b0
1515a78b95101c
hexadb458bc4ea

11936880903402 has 320 divisors, whose sum is σ = 34909788291840. Its totient is φ = 2958463678464.

The previous prime is 11936880903373. The next prime is 11936880903403. The reversal of 11936880903402 is 20430908863911.

11936880903402 is a `hidden beast` number, since 1 + 1 + 93 + 68 + 8 + 0 + 90 + 3 + 402 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11936880903403) 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 159 ways as a sum of consecutive naturals, for example, 165118488 + ... + 165190764.

It is an arithmetic number, because the mean of its divisors is an integer number (109093088412).

Almost surely, 211936880903402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11936880903402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454894145920).

11936880903402 is an abundant number, since it is smaller than the sum of its proper divisors (22972907388438).

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

11936880903402 is a wasteful number, since it uses less digits than its factorization.

11936880903402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72987 (or 72978 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11936880903402 in words is "eleven trillion, nine hundred thirty-six billion, eight hundred eighty million, nine hundred three thousand, four hundred two".