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5477618016 = 2532131519689
BaseRepresentation
bin1010001100111110…
…11101000101100000
3112010202002211022100
411012133131011200
542204232234031
62303312210400
7252511661553
oct50637350540
915122084270
105477618016
112360a77542
12108a539a00
13693aa82c0
1439d6ac69a
15220d4cde6
hex1467dd160

5477618016 has 144 divisors (see below), whose sum is σ = 16888042080. Its totient is φ = 1674086400.

The previous prime is 5477617987. The next prime is 5477618039. The reversal of 5477618016 is 6108167745.

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, 560500 + ... + 570188.

It is an arithmetic number, because the mean of its divisors is an integer number (117278070).

Almost surely, 25477618016 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 5477618016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444021040).

5477618016 is an abundant number, since it is smaller than the sum of its proper divisors (11410424064).

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

5477618016 is a wasteful number, since it uses less digits than its factorization.

5477618016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5477618016 is about 74010.9317330893. The cubic root of 5477618016 is about 1762.7764819921.

The spelling of 5477618016 in words is "five billion, four hundred seventy-seven million, six hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 151 156 208 234 288 302 312 416 453 468 604 624 906 936 1208 1248 1359 1812 1872 1963 2416 2718 3624 3744 3926 4832 5436 5889 7248 7852 9689 10872 11778 14496 15704 17667 19378 21744 23556 29067 31408 35334 38756 43488 47112 58134 62816 70668 77512 87201 94224 116268 125957 141336 155024 174402 188448 232536 251914 282672 310048 348804 377871 465072 503828 565344 697608 755742 930144 1007656 1133613 1395216 1463039 1511484 2015312 2267226 2790432 2926078 3022968 4030624 4389117 4534452 5852156 6045936 8778234 9068904 11704312 12091872 13167351 17556468 18137808 19019507 23408624 26334702 35112936 36275616 38039014 46817248 52669404 57058521 70225872 76078028 105338808 114117042 140451744 152156056 171175563 210677616 228234084 304312112 342351126 421355232 456468168 608624224 684702252 912936336 1369404504 1825872672 2738809008 5477618016