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5895096648 = 2337318531327
BaseRepresentation
bin1010111110110000…
…00000100101001000
3120012211122221022220
411133120000211020
544033121043043
62412544214040
7266041331460
oct53730004510
916184587286
105895096648
1125556a0401
12118630a320
1372c42948c
143dcd02ba0
15247815483
hex15f600948

5895096648 has 128 divisors (see below), whose sum is σ = 17419960320. Its totient is φ = 1626842880.

The previous prime is 5895096637. The next prime is 5895096671. The reversal of 5895096648 is 8466905985.

It is a junction number, because it is equal to n+sod(n) for n = 5895096591 and 5895096600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4441761 + ... + 4443087.

It is an arithmetic number, because the mean of its divisors is an integer number (136093440).

Almost surely, 25895096648 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 5895096648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709980160).

5895096648 is an abundant number, since it is smaller than the sum of its proper divisors (11524863672).

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

5895096648 is a wasteful number, since it uses less digits than its factorization.

5895096648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The square root of 5895096648 is about 76779.5327414800. The cubic root of 5895096648 is about 1806.4681540638.

The spelling of 5895096648 in words is "five billion, eight hundred ninety-five million, ninety-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 853 868 1302 1327 1706 1736 2559 2604 2654 3412 3981 5118 5208 5308 5971 6824 7962 9289 10236 10616 11942 15924 17913 18578 20472 23884 26443 27867 31848 35826 37156 41137 47768 52886 55734 71652 74312 79329 82274 105772 111468 123411 143304 158658 164548 185101 211544 222936 246822 287959 317316 329096 370202 493644 555303 575918 634632 740404 863877 987288 1110606 1131931 1151836 1480808 1727754 2221212 2263862 2303672 3395793 3455508 4442424 4527724 6791586 6911016 7923517 9055448 13583172 15847034 23770551 27166344 31694068 35089861 47541102 63388136 70179722 95082204 105269583 140359444 190164408 210539166 245629027 280718888 421078332 491258054 736887081 842156664 982516108 1473774162 1965032216 2947548324 5895096648