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5384042496 = 21132741729
BaseRepresentation
bin1010000001110100…
…11111100000000000
3111220020000200211100
411000322133200000
542011303324441
62250130414400
7250264414620
oct50072374000
914806020740
105384042496
1123131738a8
121063131400
1367a5a3a81
143910b0880
15217a16cb6
hex140e9f800

5384042496 has 144 divisors (see below), whose sum is σ = 17771972400. Its totient is φ = 1538260992.

The previous prime is 5384042431. The next prime is 5384042497. The reversal of 5384042496 is 6942404835.

5384042496 is a `hidden beast` number, since 538 + 4 + 0 + 4 + 24 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384042497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108160 + ... + 149888.

It is an arithmetic number, because the mean of its divisors is an integer number (123416475).

Almost surely, 25384042496 is an apocalyptic number.

5384042496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5384042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885986200).

5384042496 is an abundant number, since it is smaller than the sum of its proper divisors (12387929904).

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

5384042496 is a wasteful number, since it uses less digits than its factorization.

5384042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41764 (or 41741 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5384042496 is about 73376.0348887837. The cubic root of 5384042496 is about 1752.6807887820.

The spelling of 5384042496 in words is "five billion, three hundred eighty-four million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 41729 43008 64512 83458 125187 129024 166916 250374 292103 333832 375561 500748 584206 667664 751122 876309 1001496 1168412 1335328 1502244 1752618 2002992 2336824 2628927 2670656 3004488 3505236 4005984 4673648 5257854 5341312 6008976 7010472 8011968 9347296 10515708 10682624 12017952 14020944 16023936 18694592 21031416 21365248 24035904 28041888 32047872 37389184 42062832 42730496 48071808 56083776 64095744 74778368 84125664 85460992 96143616 112167552 128191488 149556736 168251328 192287232 224335104 256382976 299113472 336502656 384574464 448670208 598226944 673005312 769148928 897340416 1346010624 1794680832 2692021248 5384042496