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5447065344 = 28372344053
BaseRepresentation
bin1010001001010101…
…11001111100000000
3112001121121120220220
411010222321330000
542123422042334
62300301303040
7251661201660
oct50452717400
915047546826
105447065344
1123457a98a6
121080264a80
1368a66b8b6
143995d81a0
1521d315449
hex144ab9f00

5447065344 has 144 divisors (see below), whose sum is σ = 17288904192. Its totient is φ = 1488605184.

The previous prime is 5447065339. The next prime is 5447065409. The reversal of 5447065344 is 4435607445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5447065296 and 5447065305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101622 + ... + 145674.

Almost surely, 25447065344 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 5447065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644452096).

5447065344 is an abundant number, since it is smaller than the sum of its proper divisors (11841838848).

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

5447065344 is a wasteful number, since it uses less digits than its factorization.

5447065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44102 (or 44088 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The square root of 5447065344 is about 73804.2366263618. The cubic root of 5447065344 is about 1759.4929393280.

The spelling of 5447065344 in words is "five billion, four hundred forty-seven million, sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 44053 61824 88106 123648 132159 176212 264318 308371 352424 528636 616742 704848 925113 1013219 1057272 1233484 1409696 1850226 2026438 2114544 2466968 2819392 3039657 3700452 4052876 4229088 4933936 5638784 6079314 7092533 7400904 8105752 8458176 9867872 11277568 12158628 14185066 14801808 16211504 16916352 19735744 21277599 24317256 28370132 29603616 32423008 33832704 39471488 42555198 48634512 56740264 59207232 64846016 78942976 85110396 97269024 113480528 118414464 129692032 170220792 194538048 226961056 236828928 259384064 340441584 389076096 453922112 680883168 778152192 907844224 1361766336 1815688448 2723532672 5447065344