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5716842624 = 27344911123
BaseRepresentation
bin1010101001100000…
…00001100010000000
3112202102020200210000
411110300001202000
543202002430444
62343135440000
7261445234443
oct52460014200
915672220700
105716842624
112474010529
121136686000
1370151721c
143c338165a
15236d54469
hex154c01880

5716842624 has 160 divisors (see below), whose sum is σ = 17063061840. Its totient is φ = 1900039680.

The previous prime is 5716842623. The next prime is 5716842631. The reversal of 5716842624 is 4262486175.

5716842624 is a `hidden beast` number, since 5 + 7 + 16 + 8 + 4 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5716842624.

It is not an unprimeable number, because it can be changed into a prime (5716842623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5090127 + ... + 5091249.

Almost surely, 25716842624 is an apocalyptic number.

5716842624 is a gapful number since it is divisible by the number (54) 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 5716842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531530920).

5716842624 is an abundant number, since it is smaller than the sum of its proper divisors (11346219216).

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

5716842624 is a wasteful number, since it uses less digits than its factorization.

5716842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1619 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5716842624 is about 75609.8050784420. The cubic root of 5716842624 is about 1788.0736873375.

The spelling of 5716842624 in words is "five billion, seven hundred sixteen million, eight hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 491 576 648 864 982 1123 1152 1296 1473 1728 1964 2246 2592 2946 3369 3456 3928 4419 4492 5184 5892 6738 7856 8838 8984 10107 10368 11784 13257 13476 15712 17676 17968 20214 23568 26514 26952 30321 31424 35352 35936 39771 40428 47136 53028 53904 60642 62848 70704 71872 79542 80856 90963 94272 106056 107808 121284 141408 143744 159084 161712 181926 188544 212112 215616 242568 282816 318168 323424 363852 424224 431232 485136 551393 565632 636336 646848 727704 848448 970272 1102786 1272672 1293696 1455408 1654179 1696896 1940544 2205572 2545344 2910816 3308358 3881088 4411144 4962537 5090688 5821632 6616716 8822288 9925074 11643264 13233432 14887611 17644576 19850148 26466864 29775222 35289152 39700296 44662833 52933728 59550444 70578304 79400592 89325666 105867456 119100888 158801184 178651332 211734912 238201776 317602368 357302664 476403552 635204736 714605328 952807104 1429210656 1905614208 2858421312 5716842624