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11382399479808 = 212347193153157
BaseRepresentation
bin1010010110100010101111…
…1000001011000000000000
31111022010221222201222120000
42211220223320023000000
52442442123231323213
640113000243320000
72253231320136360
oct245505370130000
944263858658500
1011382399479808
113699280849a55
121339b9a680000
136474815206b6
142b4ca7db89a0
1514b137d08c73
hexa5a2be0b000

11382399479808 has 2080 divisors, whose sum is σ = 43295534346240. Its totient is φ = 2906676264960.

The previous prime is 11382399479807. The next prime is 11382399479813. The reversal of 11382399479808 is 80897499328311.

11382399479808 is a `hidden beast` number, since 1 + 13 + 82 + 399 + 4 + 79 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11382399479807) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72499359666 + ... + 72499359822.

Almost surely, 211382399479808 is an apocalyptic number.

11382399479808 is a gapful number since it is divisible by the number (18) 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 11382399479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647767173120).

11382399479808 is an abundant number, since it is smaller than the sum of its proper divisors (31913134866432).

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

11382399479808 is a wasteful number, since it uses less digits than its factorization.

11382399479808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 11382399479808 in words is "eleven trillion, three hundred eighty-two billion, three hundred ninety-nine million, four hundred seventy-nine thousand, eight hundred eight".