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5868948420 = 2233517237607
BaseRepresentation
bin1010111011101000…
…10000101111000100
3120011000110110201000
411131310100233010
544004422322140
62410211533300
7265303144536
oct53564205704
916130413630
105868948420
1125419608a5
1211795ba230
13726ba275a
143d9657856
1524539ca30
hex15dd10bc4

5868948420 has 144 divisors (see below), whose sum is σ = 19396702080. Its totient is φ = 1472951808.

The previous prime is 5868948401. The next prime is 5868948443. The reversal of 5868948420 is 248498685.

5868948420 is a `hidden beast` number, since 5 + 86 + 89 + 484 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137257 + ... + 174863.

It is an arithmetic number, because the mean of its divisors is an integer number (134699320).

Almost surely, 25868948420 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 5868948420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698351040).

5868948420 is an abundant number, since it is smaller than the sum of its proper divisors (13527753660).

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

5868948420 is a wasteful number, since it uses less digits than its factorization.

5868948420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37659 (or 37634 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 5868948420 is about 76609.0622576729. The cubic root of 5868948420 is about 1803.7932782956.

The spelling of 5868948420 in words is "five billion, eight hundred sixty-eight million, nine hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 765 867 918 1020 1156 1445 1530 1734 1836 2295 2601 2890 3060 3468 4335 4590 5202 5780 7803 8670 9180 10404 13005 15606 17340 26010 31212 37607 39015 52020 75214 78030 112821 150428 156060 188035 225642 338463 376070 451284 564105 639319 676926 752140 1015389 1128210 1278638 1353852 1692315 1917957 2030778 2256420 2557276 3196595 3384630 3835914 4061556 5076945 5753871 6393190 6769260 7671828 9589785 10153890 10868423 11507742 12786380 17261613 19179570 20307780 21736846 23015484 28769355 32605269 34523226 38359140 43473692 54342115 57538710 65210538 69046452 86308065 97815807 108684230 115077420 130421076 163026345 172616130 195631614 217368460 293447421 326052690 345232260 391263228 489079035 586894842 652105380 978158070 1173789684 1467237105 1956316140 2934474210 5868948420