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10944046080 = 210345112399
BaseRepresentation
bin10100011000101000…
…01110010000000000
31001020201011010220000
422030110032100000
5134403133433310
65005544520000
7535126566612
oct121424162000
931221133800
1010944046080
1147066a0890
122155180000
131055466216
1475b6a6db2
15440bda4c0
hex28c50e400

10944046080 has 440 divisors, whose sum is σ = 42800313600. Its totient is φ = 2651996160.

The previous prime is 10944046079. The next prime is 10944046097. The reversal of 10944046080 is 8064044901.

It is a happy number.

10944046080 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 40 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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 39 ways as a sum of consecutive naturals, for example, 4560721 + ... + 4563119.

It is an arithmetic number, because the mean of its divisors is an integer number (97273440).

Almost surely, 210944046080 is an apocalyptic number.

10944046080 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 10944046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400156800).

10944046080 is an abundant number, since it is smaller than the sum of its proper divisors (31856267520).

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

10944046080 is a wasteful number, since it uses less digits than its factorization.

10944046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10944046080 in words is "ten billion, nine hundred forty-four million, forty-six thousand, eighty".