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5441645616 = 2431171379383
BaseRepresentation
bin1010001000101100…
…01110110000110000
3112001020102020110020
411010112032300300
542121030124431
62255545203440
7251564140011
oct50426166060
915036366406
105441645616
112342737990
12107a490580
136894c1a64
143989c7008
1521cae4696
hex14458ec30

5441645616 has 160 divisors (see below), whose sum is σ = 15633285120. Its totient is φ = 1617235200.

The previous prime is 5441645609. The next prime is 5441645639. The reversal of 5441645616 is 6165461445.

It is a happy number.

It is a super-2 number, since 2×54416456162 = 59223014020264038912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14207761 + ... + 14208143.

It is an arithmetic number, because the mean of its divisors is an integer number (97708032).

Almost surely, 25441645616 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 5441645616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816642560).

5441645616 is an abundant number, since it is smaller than the sum of its proper divisors (10191639504).

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

5441645616 is a wasteful number, since it uses less digits than its factorization.

5441645616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 5441645616 is about 73767.5105720669. The cubic root of 5441645616 is about 1758.9091915053.

The spelling of 5441645616 in words is "five billion, four hundred forty-one million, six hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 379 383 426 528 568 758 766 781 852 1136 1137 1149 1516 1532 1562 1704 2274 2298 2343 3032 3064 3124 3408 4169 4213 4548 4596 4686 6064 6128 6248 8338 8426 9096 9192 9372 12496 12507 12639 16676 16852 18192 18384 18744 25014 25278 26909 27193 33352 33704 37488 50028 50556 53818 54386 66704 67408 80727 81579 100056 101112 107636 108772 145157 161454 163158 200112 202224 215272 217544 290314 295999 299123 322908 326316 430544 435088 435471 580628 591998 598246 645816 652632 870942 887997 897369 1161256 1183996 1196492 1291632 1305264 1596727 1741884 1775994 1794738 2322512 2367992 2392984 3193454 3483768 3551988 3589476 4735984 4785968 4790181 6386908 6967536 7103976 7178952 9580362 10306147 12773816 14207952 14357904 19160724 20612294 25547632 30918441 38321448 41224588 61836882 76642896 82449176 113367617 123673764 164898352 226735234 247347528 340102851 453470468 494695056 680205702 906940936 1360411404 1813881872 2720822808 5441645616