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83870454420 = 223259719324889
BaseRepresentation
bin100111000011100010…
…0011001001010010100
322000111002001112022200
41032013010121022110
52333231314020140
6102310214524500
76026250046164
oct1160704311224
9260432045280
1083870454420
1132629759845
1214308066730
137ba7c6982c
1440b8c0a5a4
1522ad1a5030
hex1387119294

83870454420 has 144 divisors (see below), whose sum is σ = 258371939280. Its totient is φ = 22019309568.

The previous prime is 83870454407. The next prime is 83870454427. The reversal of 83870454420 is 2445407838.

It is a happy number.

83870454420 is a `hidden beast` number, since 8 + 3 + 87 + 0 + 4 + 544 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26207076996 + 57663377424 = 161886^2 + 240132^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83870454427) 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, 3357336 + ... + 3382224.

Almost surely, 283870454420 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 83870454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129185969640).

83870454420 is an abundant number, since it is smaller than the sum of its proper divisors (174501484860).

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

83870454420 is a wasteful number, since it uses less digits than its factorization.

83870454420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25194 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 83870454420 in words is "eighty-three billion, eight hundred seventy million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 193 194 291 386 388 485 579 582 772 873 965 970 1158 1164 1455 1737 1746 1930 1940 2316 2895 2910 3474 3492 3860 4365 5790 5820 6948 8685 8730 11580 17370 17460 18721 24889 34740 37442 49778 56163 74667 74884 93605 99556 112326 124445 149334 168489 187210 224001 224652 248890 280815 298668 336978 373335 374420 448002 497780 561630 673956 746670 842445 896004 1120005 1123260 1493340 1684890 2240010 2414233 3369780 4480020 4803577 4828466 7242699 9607154 9656932 12071165 14410731 14485398 19214308 21728097 24017885 24142330 28821462 28970796 36213495 43232193 43456194 48035770 48284660 57642924 72053655 72426990 86464386 86912388 96071540 108640485 144107310 144853980 172928772 216160965 217280970 288214620 432321930 434561940 465946969 864643860 931893938 1397840907 1863787876 2329734845 2795681814 4193522721 4659469690 5591363628 6989204535 8387045442 9318939380 13978409070 16774090884 20967613605 27956818140 41935227210 83870454420