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11004666192 = 24321322931503
BaseRepresentation
bin10100011111110110…
…11110000101010000
31001101221012222001100
422033323132011100
5140014143304232
65015552104400
7536464055622
oct121773360520
931357188040
1011004666192
114737935653
122171535100
131064b9c500
14765766c12
154461b1c7c
hex28fede150

11004666192 has 360 divisors, whose sum is σ = 35682716160. Its totient is φ = 3157539840.

The previous prime is 11004666187. The next prime is 11004666209. The reversal of 11004666192 is 29166640011.

It is a super-2 number, since 2×110046661922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21877813 + ... + 21878315.

It is an arithmetic number, because the mean of its divisors is an integer number (99118656).

Almost surely, 211004666192 is an apocalyptic number.

11004666192 is a gapful number since it is divisible by the number (12) 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 11004666192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841358080).

11004666192 is an abundant number, since it is smaller than the sum of its proper divisors (24678049968).

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

11004666192 is a wasteful number, since it uses less digits than its factorization.

11004666192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11004666192 in words is "eleven billion, four million, six hundred sixty-six thousand, one hundred ninety-two".