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11784201984 = 28321723103127
BaseRepresentation
bin10101111100110010…
…01010011100000000
31010102021001111010100
422332121022130000
5143113223430414
65225200202400
7565011031002
oct127631123400
933367044110
1011784201984
114aa7969405
12234a609400
13115a5388a9
147db0c6372
1548e845609
hex2be64a700

11784201984 has 432 divisors, whose sum is σ = 38202458112. Its totient is φ = 3474358272.

The previous prime is 11784201973. The next prime is 11784202013. The reversal of 11784201984 is 48910248711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92788929 + ... + 92789055.

It is an arithmetic number, because the mean of its divisors is an integer number (88431616).

Almost surely, 211784201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11784201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101229056).

11784201984 is an abundant number, since it is smaller than the sum of its proper divisors (26418256128).

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

11784201984 is a wasteful number, since it uses less digits than its factorization.

11784201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11784201984 in words is "eleven billion, seven hundred eighty-four million, two hundred one thousand, nine hundred eighty-four".