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7988335668 = 2234371135897
BaseRepresentation
bin1110111000010010…
…00101010000110100
3202121201110111110000
413130021011100310
5112330003220133
63400401431300
7401646506235
oct73411052064
922551414400
107988335668
11342a230905
12166b33b530
139a3cbab51
1455ad0d08c
1531b494413
hex1dc245434

7988335668 has 120 divisors (see below), whose sum is σ = 21640965192. Its totient is φ = 2567448576.

The previous prime is 7988335637. The next prime is 7988335727. The reversal of 7988335668 is 8665338897.

It can be written as a sum of positive squares in 4 ways, for example, as 2133331344 + 5855004324 = 46188^2 + 76518^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1351696 + ... + 1357592.

Almost surely, 27988335668 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 7988335668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820482596).

7988335668 is an abundant number, since it is smaller than the sum of its proper divisors (13652629524).

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

7988335668 is a wasteful number, since it uses less digits than its factorization.

7988335668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6052 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 7988335668 is about 89377.4897163710. The cubic root of 7988335668 is about 1999.0274995314.

The spelling of 7988335668 in words is "seven billion, nine hundred eighty-eight million, three hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 113 148 162 222 226 324 333 339 444 452 666 678 999 1017 1332 1356 1998 2034 2997 3051 3996 4068 4181 5897 5994 6102 8362 9153 11794 11988 12204 12543 16724 17691 18306 23588 25086 35382 36612 37629 50172 53073 70764 75258 106146 112887 150516 159219 212292 218189 225774 318438 338661 436378 451548 477657 636876 654567 666361 677322 872756 955314 1309134 1332722 1354644 1910628 1963701 1999083 2618268 2665444 3927402 3998166 5891103 5997249 7854804 7996332 11782206 11994498 17673309 17991747 23564412 23988996 24655357 35346618 35983494 49310714 53975241 70693236 71966988 73966071 98621428 107950482 147932142 215900964 221898213 295864284 443796426 665694639 887592852 1331389278 1997083917 2662778556 3994167834 7988335668