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5841416420 = 2257279197383
BaseRepresentation
bin1010111000010110…
…01111000011100100
3120002002122200220022
411130023033003210
543430400311140
62403345454312
7264520135400
oct53413170344
916062580808
105841416420
112528366684
121170341398
13721282c28
143d5b2c100
15242c600b5
hex15c2cf0e4

5841416420 has 144 divisors (see below), whose sum is σ = 14561648640. Its totient is φ = 1962245376.

The previous prime is 5841416401. The next prime is 5841416429. The reversal of 5841416420 is 246141485.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (5841416429) 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, 15251549 + ... + 15251931.

It is an arithmetic number, because the mean of its divisors is an integer number (101122560).

Almost surely, 25841416420 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 5841416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280824320).

5841416420 is an abundant number, since it is smaller than the sum of its proper divisors (8720232220).

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

5841416420 is a wasteful number, since it uses less digits than its factorization.

5841416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 5841416420 is about 76429.1594877243. The cubic root of 5841416420 is about 1800.9682465622.

The spelling of 5841416420 in words is "five billion, eight hundred forty-one million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 197 245 316 383 394 395 490 553 766 788 790 980 985 1106 1379 1532 1580 1915 1970 2212 2681 2758 2765 3830 3871 3940 5362 5516 5530 6895 7660 7742 9653 10724 11060 13405 13790 15484 15563 18767 19306 19355 26810 27580 30257 31126 37534 38612 38710 48265 53620 60514 62252 75068 75451 77420 77815 93835 96530 108941 121028 150902 151285 155630 187670 193060 211799 217882 301804 302570 311260 375340 377255 423598 435764 528157 544705 605140 754510 762587 847196 1056314 1058995 1089410 1482593 1509020 1525174 2112628 2117990 2178820 2640785 2965186 3050348 3697099 3812935 4235980 5281570 5930372 5960629 7394198 7412965 7625870 10563140 11921258 14788396 14825930 15251740 18485495 23842516 29651860 29803145 36970990 41724403 59606290 73941980 83448806 119212580 166897612 208622015 292070821 417244030 584141642 834488060 1168283284 1460354105 2920708210 5841416420