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5869168938880 = 275131625343403
BaseRepresentation
bin101010101101000010110…
…1110101100111110000000
3202210002100110211000201221
41111122011232230332000
51232130024222021010
620252131535204424
71144014322562122
oct125320556547600
922702313730657
105869168938880
111963111947855
127a9598976714
133375ca24b430
141640d81d1212
15a2a0d1b3dda
hex55685bacf80

5869168938880 has 128 divisors (see below), whose sum is σ = 15111566154720. Its totient is φ = 2166894501888.

The previous prime is 5869168938863. The next prime is 5869168938881. The reversal of 5869168938880 is 888398619685.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×58691689388802 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5869168938880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5869168938881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135203259 + ... + 135246661.

Almost surely, 25869168938880 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 5869168938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555783077360).

5869168938880 is an abundant number, since it is smaller than the sum of its proper divisors (9242397215840).

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

5869168938880 is a wasteful number, since it uses less digits than its factorization.

5869168938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59688 (or 59676 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 79.

The spelling of 5869168938880 in words is "five trillion, eight hundred sixty-nine billion, one hundred sixty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 16253 32506 43403 65012 81265 86806 130024 162530 173612 211289 217015 260048 325060 347224 422578 434030 520096 564239 650120 694448 845156 868060 1040192 1056445 1128478 1300240 1388896 1690312 1736120 2080384 2112890 2256956 2600480 2777792 2821195 3380624 3472240 4225780 4513912 5200960 5555584 5642390 6761248 6944480 8451560 9027824 10401920 11284780 13522496 13888960 16903120 18055648 22569560 27044992 27777920 33806240 36111296 45139120 67612480 72222592 90278240 135224960 180556480 361112960 705428959 1410857918 2821715836 3527144795 5643431672 7054289590 9170576467 11286863344 14108579180 18341152934 22573726688 28217158360 36682305868 45147453376 45852882335 56434316720 73364611736 90294906752 91705764670 112868633440 146729223472 183411529340 225737266880 293458446944 366823058680 451474533760 586916893888 733646117360 1173833787776 1467292234720 2934584469440 5869168938880