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5868642000 = 243531375239
BaseRepresentation
bin1010111011100110…
…00101111011010000
3120010222212220101010
411131303011323100
544004333021000
62410201210520
7265300430304
oct53563057320
916128786333
105868642000
112541771661
121179490a40
13726ac6140
143d95b7d04
1524533bd50
hex15dcc5ed0

5868642000 has 160 divisors (see below), whose sum is σ = 20376195840. Its totient is φ = 1444569600.

The previous prime is 5868641993. The next prime is 5868642041. The reversal of 5868642000 is 2468685.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5868642000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40381 + ... + 115619.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 25868642000 is an apocalyptic number.

5868642000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5868642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

5868642000 is an abundant number, since it is smaller than the sum of its proper divisors (14507553840).

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

5868642000 is a wasteful number, since it uses less digits than its factorization.

5868642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75278 (or 75262 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5868642000 is about 76607.0623376200. The cubic root of 5868642000 is about 1803.7618855079.

The spelling of 5868642000 in words is "five billion, eight hundred sixty-eight million, six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 75239 78000 150478 225717 300956 376195 451434 601912 752390 902868 978107 1128585 1203824 1504780 1805736 1880975 1956214 2257170 2934321 3009560 3611472 3761950 3912428 4514340 4890535 5642925 5868642 6019120 7523900 7824856 9028680 9404875 9781070 11285850 11737284 14671605 15047800 15649712 18057360 18809750 19562140 22571700 23474568 24452675 28214625 29343210 30095600 37619500 39124280 45143400 46949136 48905350 56429250 58686420 73358025 75239000 78248560 90286800 97810700 112858500 117372840 122263375 146716050 150478000 195621400 225717000 234745680 244526750 293432100 366790125 391242800 451434000 489053500 586864200 733580250 978107000 1173728400 1467160500 1956214000 2934321000 5868642000