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5778013632 = 2632311311579
BaseRepresentation
bin1010110000110010…
…10111110111000000
3112220200100111121220
411120121113313000
543313132414012
62353202515040
7263120206536
oct53031276700
915820314556
105778013632
1124a55a1186
121153065a80
137110b41a1
143cb546156
1523c3d908c
hex158657dc0

5778013632 has 112 divisors (see below), whose sum is σ = 16094903040. Its totient is φ = 1825804288.

The previous prime is 5778013613. The next prime is 5778013643. The reversal of 5778013632 is 2363108775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493219 + ... + 504797.

Almost surely, 25778013632 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 5778013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047451520).

5778013632 is an abundant number, since it is smaller than the sum of its proper divisors (10316889408).

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

5778013632 is a wasteful number, since it uses less digits than its factorization.

5778013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 5778013632 is about 76013.2464245542. The cubic root of 5778013632 is about 1794.4286201089.

The spelling of 5778013632 in words is "five billion, seven hundred seventy-eight million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 113 138 184 192 226 276 339 368 452 552 678 736 904 1104 1356 1472 1808 2208 2599 2712 3616 4416 5198 5424 7232 7797 10396 10848 11579 15594 20792 21696 23158 31188 34737 41584 46316 62376 69474 83168 92632 124752 138948 166336 185264 249504 266317 277896 370528 499008 532634 555792 741056 798951 1065268 1111584 1308427 1597902 2130536 2223168 2616854 3195804 3925281 4261072 5233708 6391608 7850562 8522144 10467416 12783216 15701124 17044288 20934832 25566432 30093821 31402248 41869664 51132864 60187642 62804496 83739328 90281463 120375284 125608992 180562926 240750568 251217984 361125852 481501136 722251704 963002272 1444503408 1926004544 2889006816 5778013632