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1111065984 = 2731172
BaseRepresentation
bin100001000111001…
…1000010110000000
32212102200000000000
41002032120112000
54233413102414
6302130000000
736350622300
oct10216302600
92772600000
101111065984
11520193356
12270116000
131492567c2
14a77bd600
156781eb09
hex42398580

1111065984 has 288 divisors, whose sum is σ = 3862240200. Its totient is φ = 317447424.

The previous prime is 1111065979. The next prime is 1111066001. The reversal of 1111065984 is 4895601111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 158723709 + ... + 158723715.

Almost surely, 21111065984 is an apocalyptic number.

1111065984 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 1111065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931120100).

1111065984 is an abundant number, since it is smaller than the sum of its proper divisors (2751174216).

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

1111065984 is an frugal number, since it uses more digits than its factorization.

1111065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1111065984 is about 33332.6564197935. The cubic root of 1111065984 is about 1035.7301464188.

The spelling of 1111065984 in words is "one billion, one hundred eleven million, sixty-five thousand, nine hundred eighty-four".