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5338288704 = 263723916619
BaseRepresentation
bin1001111100010111…
…11101001001000000
3111210000221011102110
410332023331021000
541413100214304
62241414015320
7246200463630
oct47613751100
914700834373
105338288704
11229a363351
12104b947540
13670c74318
14388da06c0
152139ca289
hex13e2fd240

5338288704 has 112 divisors (see below), whose sum is σ = 16210483200. Its totient is φ = 1518752256.

The previous prime is 5338288693. The next prime is 5338288727. The reversal of 5338288704 is 4078828335.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 312907 + ... + 329525.

Almost surely, 25338288704 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 5338288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105241600).

5338288704 is an abundant number, since it is smaller than the sum of its proper divisors (10872194496).

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

5338288704 is a wasteful number, since it uses less digits than its factorization.

5338288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16880 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 5338288704 is about 73063.5935606784. The cubic root of 5338288704 is about 1747.7018763464.

The spelling of 5338288704 in words is "five billion, three hundred thirty-eight million, two hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 239 336 448 478 672 717 956 1344 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 15296 16619 20076 22944 26768 33238 40152 45888 49857 53536 66476 80304 99714 107072 116333 132952 160608 199428 232666 265904 321216 348999 398856 465332 531808 697998 797712 930664 1063616 1395996 1595424 1861328 2791992 3190848 3722656 3971941 5583984 7445312 7943882 11167968 11915823 15887764 22335936 23831646 27803587 31775528 47663292 55607174 63551056 83410761 95326584 111214348 127102112 166821522 190653168 222428696 254204224 333643044 381306336 444857392 667286088 762612672 889714784 1334572176 1779429568 2669144352 5338288704