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1103066496 = 27327373697
BaseRepresentation
bin100000110111111…
…0111010110000000
32211212121120202200
41001233313112000
54224341111441
6301242313200
736222624210
oct10157672600
92755546680
101103066496
1151671a204
122694b8800
131476b568c
14a66da240
1566c8e7b6
hex41bf7580

1103066496 has 192 divisors, whose sum is σ = 3726696480. Its totient is φ = 306561024.

The previous prime is 1103066483. The next prime is 1103066507. The reversal of 1103066496 is 6946603011.

1103066496 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 0 + 6 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1103066496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296520 + ... + 300216.

Almost surely, 21103066496 is an apocalyptic number.

1103066496 is a gapful number since it is divisible by the number (16) 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 1103066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863348240).

1103066496 is an abundant number, since it is smaller than the sum of its proper divisors (2623629984).

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

1103066496 is a wasteful number, since it uses less digits than its factorization.

1103066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1103066496 is about 33212.4448964541. Note that the first 3 decimals coincide. The cubic root of 1103066496 is about 1033.2384626973.

The spelling of 1103066496 in words is "one billion, one hundred three million, sixty-six thousand, four hundred ninety-six".