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5731858656 = 253261431757
BaseRepresentation
bin1010101011010010…
…10011100011100000
3112210110111120220100
411111221103203200
543214323434111
62344433342400
7262016665116
oct52551234340
915713446810
105731858656
112481537277
12113b707a00
13704673c54
143c536dab6
1523831d756
hex155a538e0

5731858656 has 144 divisors (see below), whose sum is σ = 16627560768. Its totient is φ = 1872460800.

The previous prime is 5731858619. The next prime is 5731858661. The reversal of 5731858656 is 6568581375.

5731858656 is a `hidden beast` number, since 5 + 7 + 3 + 1 + 8 + 586 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7571430 + ... + 7572186.

It is an arithmetic number, because the mean of its divisors is an integer number (115469172).

Almost surely, 25731858656 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 5731858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313780384).

5731858656 is an abundant number, since it is smaller than the sum of its proper divisors (10895702112).

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

5731858656 is a wasteful number, since it uses less digits than its factorization.

5731858656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1254 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 5731858656 is about 75709.0394602917. The cubic root of 5731858656 is about 1789.6378548086.

The spelling of 5731858656 in words is "five billion, seven hundred thirty-one million, eight hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 431 488 549 732 757 862 976 1098 1293 1464 1514 1724 1952 2196 2271 2586 2928 3028 3448 3879 4392 4542 5172 5856 6056 6813 6896 7758 8784 9084 10344 12112 13626 13792 15516 17568 18168 20688 24224 26291 27252 31032 36336 41376 46177 52582 54504 62064 72672 78873 92354 105164 109008 124128 138531 157746 184708 210328 218016 236619 277062 315492 326267 369416 415593 420656 473238 554124 630984 652534 738832 831186 841312 946476 978801 1108248 1261968 1305068 1477664 1662372 1892952 1957602 2216496 2523936 2610136 2936403 3324744 3785904 3915204 4432992 5220272 5872806 6649488 7571808 7830408 10440544 11745612 13298976 15660816 19902287 23491224 31321632 39804574 46982448 59706861 79609148 93964896 119413722 159218296 179120583 238827444 318436592 358241166 477654888 636873184 716482332 955309776 1432964664 1910619552 2865929328 5731858656