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896089933420 = 2251115158745953
BaseRepresentation
bin11010000101000110001…
…11110100011001101100
310011122222001022010020121
431002203013310121230
5104140143010332140
61523354045054324
7121511641521343
oct15024307643154
93148861263217
10896089933420
11316036451a10
121258028573a4
1366668695246
1431529da2b5a
151849911d64a
hexd0a31f466c

896089933420 has 96 divisors (see below), whose sum is σ = 2070021090816. Its totient is φ = 323134464000.

The previous prime is 896089933399. The next prime is 896089933423. The reversal of 896089933420 is 24339980698.

It is not an unprimeable number, because it can be changed into a prime (896089933423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19477164 + ... + 19523116.

It is an arithmetic number, because the mean of its divisors is an integer number (21562719696).

Almost surely, 2896089933420 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 896089933420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035010545408).

896089933420 is an abundant number, since it is smaller than the sum of its proper divisors (1173931157396).

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

896089933420 is a wasteful number, since it uses less digits than its factorization.

896089933420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46711 (or 46709 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 896089933420 in words is "eight hundred ninety-six billion, eighty-nine million, nine hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 587 604 755 1174 1510 1661 2348 2935 3020 3322 5870 6457 6644 8305 11740 12914 16610 25828 32285 33220 45953 64570 88637 91906 129140 177274 183812 229765 354548 443185 459530 505483 886370 919060 975007 1010966 1772740 1950014 2021932 2527415 3900028 4875035 5054830 6938903 9750070 10109660 13877806 19500140 26974411 27755612 34694515 53948822 69389030 76327933 107897644 134872055 138778060 152655866 269744110 296718521 305311732 381639665 539488220 593437042 763279330 1186874084 1483592605 1526558660 2967185210 4073136061 5934370420 8146272122 16292544244 20365680305 40731360610 44804496671 81462721220 89608993342 179217986684 224022483355 448044966710 896089933420