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11063934720 = 283352331449
BaseRepresentation
bin10100100110111011…
…00011111100000000
31001120001202010012000
422103131203330000
5140124331402340
65025510304000
7541113615306
oct122335437400
931501663160
1011063934720
114768336a03
122189358000
131074251547
1476d594276
1544b4bcd30
hex293763f00

11063934720 has 576 divisors, whose sum is σ = 42384384000. Its totient is φ = 2724986880.

The previous prime is 11063934683. The next prime is 11063934733. The reversal of 11063934720 is 2743936011.

11063934720 is a `hidden beast` number, since 1 + 10 + 639 + 3 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 24641056 + ... + 24641504.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 211063934720 is an apocalyptic number.

11063934720 is a gapful number since it is divisible by the number (10) 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 11063934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

11063934720 is an abundant number, since it is smaller than the sum of its proper divisors (31320449280).

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

11063934720 is a wasteful number, since it uses less digits than its factorization.

11063934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 11063934720 in words is "eleven billion, sixty-three million, nine hundred thirty-four thousand, seven hundred twenty".