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11426685984 = 2533767163173
BaseRepresentation
bin10101010010001010…
…10110010000100000
31002111100022210101000
422221011112100200
5141400212422414
65125505312000
7553110141210
oct125105262040
932440283330
1011426685984
11493408033a
12226a935600
13110145066c
147a5820240
1546d274b09
hex2a9156420

11426685984 has 384 divisors, whose sum is σ = 39119431680. Its totient is φ = 3177833472.

The previous prime is 11426685973. The next prime is 11426685989. The reversal of 11426685984 is 48958662411.

11426685984 is a `hidden beast` number, since 1 + 1 + 42 + 6 + 6 + 8 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11426685984.

It is not an unprimeable number, because it can be changed into a prime (11426685989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66050122 + ... + 66050294.

It is an arithmetic number, because the mean of its divisors is an integer number (101873520).

Almost surely, 211426685984 is an apocalyptic number.

11426685984 is a gapful number since it is divisible by the number (14) 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 11426685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559715840).

11426685984 is an abundant number, since it is smaller than the sum of its proper divisors (27692745696).

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

11426685984 is a wasteful number, since it uses less digits than its factorization.

11426685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 11426685984 in words is "eleven billion, four hundred twenty-six million, six hundred eighty-five thousand, nine hundred eighty-four".