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8129512482 = 23721319111949
BaseRepresentation
bin1111001001000111…
…01000010000100010
3202222120010000121220
413210203220100202
5113122123344412
63422403355510
7405312500400
oct74443502042
922876100556
108129512482
1134a1997063
1216aa682b96
139c731aa20
1457197c470
15328a7e68c
hex1e48e8422

8129512482 has 96 divisors (see below), whose sum is σ = 21440664000. Its totient is φ = 2031184512.

The previous prime is 8129512477. The next prime is 8129512487. The reversal of 8129512482 is 2842159218.

It is an interprime number because it is at equal distance from previous prime (8129512477) and next prime (8129512487).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8129512487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16644 + ... + 128592.

It is an arithmetic number, because the mean of its divisors is an integer number (223340250).

Almost surely, 28129512482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8129512482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720332000).

8129512482 is an abundant number, since it is smaller than the sum of its proper divisors (13311151518).

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

8129512482 is a wasteful number, since it uses less digits than its factorization.

8129512482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112000 (or 111993 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 8129512482 is about 90163.8091586641. The cubic root of 8129512482 is about 2010.7349838032.

The spelling of 8129512482 in words is "eight billion, one hundred twenty-nine million, five hundred twelve thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 147 182 247 266 273 294 399 494 546 637 741 798 931 1274 1482 1729 1862 1911 2793 3458 3822 5187 5586 10374 12103 24206 36309 72618 111949 223898 335847 671694 783643 1455337 1567286 2127031 2350929 2910674 4254062 4366011 4701858 5485501 6381093 8732022 10187359 10971002 12762186 14889217 16456503 20374718 27651403 29778434 30562077 32913006 44667651 55302806 61124154 71311513 82954209 89335302 104224519 142623026 165908418 193559821 208449038 213934539 312673557 387119642 427869078 580679463 625347114 1161358926 1354918747 2709837494 4064756241 8129512482