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5425576416 = 2532134393301
BaseRepresentation
bin1010000110110001…
…11011100111100000
3112000010011211122200
411003120323213200
542102421421131
62254212533200
7251310432021
oct50330734740
915003154580
105425576416
112334661957
121075021200
13686086860
14396802c48
1521b4bd2e6
hex14363b9e0

5425576416 has 144 divisors (see below), whose sum is σ = 16658722080. Its totient is φ = 1665100800.

The previous prime is 5425576393. The next prime is 5425576427. The reversal of 5425576416 is 6146755245.

5425576416 is a `hidden beast` number, since 54 + 2 + 557 + 6 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1641966 + ... + 1645266.

It is an arithmetic number, because the mean of its divisors is an integer number (115685570).

Almost surely, 25425576416 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 5425576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329361040).

5425576416 is an abundant number, since it is smaller than the sum of its proper divisors (11233145664).

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

5425576416 is a wasteful number, since it uses less digits than its factorization.

5425576416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3758 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 5425576416 is about 73658.5121761226. The cubic root of 5425576416 is about 1757.1761293153.

The spelling of 5425576416 in words is "five billion, four hundred twenty-five million, five hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 439 468 624 878 936 1248 1317 1756 1872 2634 3301 3512 3744 3951 5268 5707 6602 7024 7902 9903 10536 11414 13204 14048 15804 17121 19806 21072 22828 26408 29709 31608 34242 39612 42144 42913 45656 51363 52816 59418 63216 68484 79224 85826 91312 102726 105632 118836 126432 128739 136968 158448 171652 182624 205452 237672 257478 273936 316896 343304 386217 410904 475344 514956 547872 686608 772434 821808 950688 1029912 1373216 1449139 1544868 1643616 2059824 2898278 3089736 4119648 4347417 5796556 6179472 8694834 11593112 12358944 13042251 17389668 18838807 23186224 26084502 34779336 37677614 46372448 52169004 56516421 69558672 75355228 104338008 113032842 139117344 150710456 169549263 208676016 226065684 301420912 339098526 417352032 452131368 602841824 678197052 904262736 1356394104 1808525472 2712788208 5425576416