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1109672537440 = 2551941431971051
BaseRepresentation
bin10000001001011101101…
…000110010110101100000
310221002020222122120200011
4100021131220302311200
5121140102132144230
62205435421334304
7143112501640105
oct20113550626540
93832228576604
101109672537440
11398678244595
1215b08b107394
13808459a08cc
143b9cbd48aac
151dce9c27e2a
hex1025da32d60

1109672537440 has 384 divisors, whose sum is σ = 2910078420480. Its totient is φ = 398297088000.

The previous prime is 1109672537429. The next prime is 1109672537473. The reversal of 1109672537440 is 447352769011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055824915 + ... + 1055825965.

It is an arithmetic number, because the mean of its divisors is an integer number (7578329220).

Almost surely, 21109672537440 is an apocalyptic number.

1109672537440 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 1109672537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455039210240).

1109672537440 is an abundant number, since it is smaller than the sum of its proper divisors (1800405883040).

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

1109672537440 is a wasteful number, since it uses less digits than its factorization.

1109672537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 1109672537440 in words is "one trillion, one hundred nine billion, six hundred seventy-two million, five hundred thirty-seven thousand, four hundred forty".