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11244344832 = 2935712911
BaseRepresentation
bin10100111100011011…
…10001011000000000
31002000122012220100000
422132031301120000
5141012023013312
65055433200000
7545434232310
oct123615613000
932018186300
1011244344832
114850159776
122219860000
1310a2739ca6
14789517440
1545c257adc
hex29e371600

11244344832 has 240 divisors, whose sum is σ = 38464538112. Its totient is φ = 3212421120.

The previous prime is 11244344819. The next prime is 11244344863. The reversal of 11244344832 is 23844344211.

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

It is a nude number because it is divisible by every one of its digits.

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, 864457 + ... + 877367.

Almost surely, 211244344832 is an apocalyptic number.

11244344832 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 11244344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232269056).

11244344832 is an abundant number, since it is smaller than the sum of its proper divisors (27220193280).

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

11244344832 is an frugal number, since it uses more digits than its factorization.

11244344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951 (or 12923 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 11244344832 in words is "eleven billion, two hundred forty-four million, three hundred forty-four thousand, eight hundred thirty-two".