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5940485856 = 253231679931
BaseRepresentation
bin1011000100001010…
…01001111011100000
3120100000001221121200
411202011021323200
544131231021411
62421245121200
7300132203514
oct54205117340
916300057550
105940485856
112579281a48
121199559200
1373895bcb6
14404d5a144
1524b7cde56
hex162149ee0

5940485856 has 144 divisors (see below), whose sum is σ = 17700254208. Its totient is φ = 1887494400.

The previous prime is 5940485843. The next prime is 5940485857. The reversal of 5940485856 is 6585840495.

5940485856 is a `hidden beast` number, since 59 + 4 + 0 + 4 + 8 + 585 + 6 = 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 (5940485857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593211 + ... + 603141.

It is an arithmetic number, because the mean of its divisors is an integer number (122918432).

Almost surely, 25940485856 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 5940485856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850127104).

5940485856 is an abundant number, since it is smaller than the sum of its proper divisors (11759768352).

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

5940485856 is a wasteful number, since it uses less digits than its factorization.

5940485856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The square root of 5940485856 is about 77074.5473940652. The cubic root of 5940485856 is about 1811.0925971463.

The spelling of 5940485856 in words is "five billion, nine hundred forty million, four hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 67 72 93 96 124 134 144 186 201 248 268 279 288 372 402 496 536 558 603 744 804 992 1072 1116 1206 1488 1608 2077 2144 2232 2412 2976 3216 4154 4464 4824 6231 6432 8308 8928 9648 9931 12462 16616 18693 19296 19862 24924 29793 33232 37386 39724 49848 59586 66464 74772 79448 89379 99696 119172 149544 158896 178758 199392 238344 299088 307861 317792 357516 476688 598176 615722 665377 715032 923583 953376 1231444 1330754 1430064 1847166 1996131 2462888 2661508 2770749 2860128 3694332 3992262 4925776 5323016 5541498 5988393 7388664 7984524 9851552 10646032 11082996 11976786 14777328 15969048 20626687 21292064 22165992 23953572 29554656 31938096 41253374 44331984 47907144 61880061 63876192 82506748 88663968 95814288 123760122 165013496 185640183 191628576 247520244 330026992 371280366 495040488 660053984 742560732 990080976 1485121464 1980161952 2970242928 5940485856