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2068434848 = 251943611297
BaseRepresentation
bin111101101001001…
…1100111110100000
312100011010101012002
41323102130332200
513214004403343
6541125423132
7102154256204
oct17322347640
95304111162
102068434848
11971639797
1249886aaa8
1326c6b865c
141589d0b04
15c18ce8b8
hex7b49cfa0

2068434848 has 96 divisors (see below), whose sum is σ = 4461589440. Its totient is φ = 940584960.

The previous prime is 2068434839. The next prime is 2068434857. The reversal of 2068434848 is 8484348602.

It is an interprime number because it is at equal distance from previous prime (2068434839) and next prime (2068434857).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594136 + ... + 1595432.

It is an arithmetic number, because the mean of its divisors is an integer number (46474890).

Almost surely, 22068434848 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 2068434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230794720).

2068434848 is an abundant number, since it is smaller than the sum of its proper divisors (2393154592).

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

2068434848 is a wasteful number, since it uses less digits than its factorization.

2068434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 47.

The square root of 2068434848 is about 45480.0489005894. The cubic root of 2068434848 is about 1274.1306077269.

The spelling of 2068434848 in words is "two billion, sixty-eight million, four hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 43 61 76 86 122 152 172 244 304 344 488 608 688 817 976 1159 1297 1376 1634 1952 2318 2594 2623 3268 4636 5188 5246 6536 9272 10376 10492 13072 18544 20752 20984 24643 26144 37088 41504 41968 49286 49837 55771 79117 83936 98572 99674 111542 158234 197144 199348 223084 316468 394288 398696 446168 632936 788576 797392 892336 1059649 1265872 1503223 1594784 1784672 2119298 2531744 3006446 3402031 4238596 6012892 6804062 8477192 12025784 13608124 16954384 24051568 27216248 33908768 48103136 54432496 64638589 108864992 129277178 258554356 517108712 1034217424 2068434848