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5441480064 = 273243109849
BaseRepresentation
bin1010001000101011…
…00110010110000000
3112001020002211100200
411010111212112000
542121004330224
62255541445200
7251562550236
oct50425462600
915036084320
105441480064
112342634569
12107a410800
136894645b7
14398982956
1521cab05c9
hex144566580

5441480064 has 96 divisors (see below), whose sum is σ = 16022721000. Its totient is φ = 1771628544.

The previous prime is 5441480063. The next prime is 5441480087. The reversal of 5441480064 is 4600841445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441480063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5389 + ... + 104460.

Almost surely, 25441480064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011360500).

5441480064 is an abundant number, since it is smaller than the sum of its proper divisors (10581240936).

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

5441480064 is a wasteful number, since it uses less digits than its factorization.

5441480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109912 (or 109897 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5441480064 is about 73766.3884435181. The cubic root of 5441480064 is about 1758.8913541384.

The spelling of 5441480064 in words is "five billion, four hundred forty-one million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 109849 219698 329547 439396 659094 878792 988641 1318188 1757584 1977282 2636376 3515168 3954564 4723507 5272752 7030336 7909128 9447014 10545504 14060672 14170521 15818256 18894028 21091008 28341042 31636512 37788056 42182016 42511563 56682084 63273024 75576112 85023126 113364168 126546048 151152224 170046252 226728336 302304448 340092504 453456672 604608896 680185008 906913344 1360370016 1813826688 2720740032 5441480064