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8148081420 = 22325433104543
BaseRepresentation
bin1111001011010100…
…11101101100001100
3210000212001102102100
413211222131230030
5113141402101140
63424305355100
7405626356263
oct74552355414
923025042370
108148081420
11350141a196
1216b4938a90
139cb11c96b
145742135da
1532a4eb530
hex1e5a9db0c

8148081420 has 72 divisors (see below), whose sum is σ = 24773164416. Its totient is φ = 2167782912.

The previous prime is 8148081349. The next prime is 8148081421. The reversal of 8148081420 is 241808418.

It is a happy number.

8148081420 is a `hidden beast` number, since 81 + 4 + 80 + 81 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8148081421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25669 + ... + 130211.

It is an arithmetic number, because the mean of its divisors is an integer number (344071728).

Almost surely, 28148081420 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 8148081420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386582208).

8148081420 is an abundant number, since it is smaller than the sum of its proper divisors (16625082996).

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

8148081420 is a wasteful number, since it uses less digits than its factorization.

8148081420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104991 (or 104986 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8148081420 is about 90266.7237690612. The cubic root of 8148081420 is about 2012.2647525133.

Adding to 8148081420 its reverse (241808418), we get a palindrome (8389889838).

The spelling of 8148081420 in words is "eight billion, one hundred forty-eight million, eighty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 433 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 12990 15588 19485 25980 38970 77940 104543 209086 313629 418172 522715 627258 940887 1045430 1254516 1568145 1881774 2090860 3136290 3763548 4704435 6272580 9408870 18817740 45267119 90534238 135801357 181068476 226335595 271602714 407404071 452671190 543205428 679006785 814808142 905342380 1358013570 1629616284 2037020355 2716027140 4074040710 8148081420