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5868075100 = 2252235983521
BaseRepresentation
bin1010111011100001…
…11011100001011100
3120010221211002201211
411131300323201130
544004211400400
62410141114204
7265262546446
oct53560734134
916127732654
105868075100
112541414748
121179258964
137269580b4
143d94ab496
15245278dba
hex15dc3b85c

5868075100 has 144 divisors (see below), whose sum is σ = 13701623040. Its totient is φ = 2176345600.

The previous prime is 5868075071. The next prime is 5868075107. The reversal of 5868075100 is 15708685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5868075107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11262840 + ... + 11263360.

It is an arithmetic number, because the mean of its divisors is an integer number (95150160).

Almost surely, 25868075100 is an apocalyptic number.

5868075100 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 5868075100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850811520).

5868075100 is an abundant number, since it is smaller than the sum of its proper divisors (7833547940).

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

5868075100 is a wasteful number, since it uses less digits than its factorization.

5868075100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 5868075100 is about 76603.3621977521. The cubic root of 5868075100 is about 1803.7038036132.

The spelling of 5868075100 in words is "five billion, eight hundred sixty-eight million, seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 83 92 100 115 118 166 230 236 295 332 415 460 521 575 590 830 1042 1150 1180 1357 1475 1660 1909 2075 2084 2300 2605 2714 2950 3818 4150 4897 5210 5428 5900 6785 7636 8300 9545 9794 10420 11983 13025 13570 19090 19588 23966 24485 26050 27140 30739 33925 38180 43243 47725 47932 48970 52100 59915 61478 67850 86486 95450 97940 112631 119830 122425 122956 135700 153695 172972 190900 216215 225262 239660 244850 299575 307390 432430 450524 489700 563155 599150 614780 706997 768475 864860 994589 1081075 1126310 1198300 1413994 1536950 1989178 2162150 2252620 2551337 2815775 2827988 3073900 3534985 3978356 4324300 4972945 5102674 5631550 7069970 9945890 10205348 11263100 12756685 14139940 17674925 19891780 24864725 25513370 35349850 49729450 51026740 58680751 63783425 70699700 99458900 117361502 127566850 234723004 255133700 293403755 586807510 1173615020 1467018775 2934037550 5868075100