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5082864612 = 22371712728027
BaseRepresentation
bin1001011101111011…
…00101101111100100
3111010020022021102220
410232331211233210
540402203131422
62200211232340
7236646431160
oct45675455744
914106267386
105082864612
112179165461
12b9a2a86b0
13630082ac7
143630b1ca0
151eb373e5c
hex12ef65be4

5082864612 has 96 divisors (see below), whose sum is σ = 14465138688. Its totient is φ = 1356009984.

The previous prime is 5082864593. The next prime is 5082864613. The reversal of 5082864612 is 2164682805.

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 (5082864613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167343 + ... + 195369.

It is an arithmetic number, because the mean of its divisors is an integer number (150678528).

Almost surely, 25082864612 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 5082864612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232569344).

5082864612 is an abundant number, since it is smaller than the sum of its proper divisors (9382274076).

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

5082864612 is a wasteful number, since it uses less digits than its factorization.

5082864612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28185 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 5082864612 is about 71294.2116303982. The cubic root of 5082864612 is about 1719.3706697987.

It can be divided in two parts, 50828 and 64612, that added together give a triangular number (115440 = T480).

The spelling of 5082864612 in words is "five billion, eighty-two million, eight hundred sixty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 127 204 238 254 357 381 476 508 714 762 889 1428 1524 1778 2159 2667 3556 4318 5334 6477 8636 10668 12954 15113 25908 28027 30226 45339 56054 60452 84081 90678 112108 168162 181356 196189 336324 392378 476459 588567 784756 952918 1177134 1429377 1905836 2354268 2858754 3335213 3559429 5717508 6670426 7118858 10005639 10678287 13340852 14237716 20011278 21356574 24916003 40022556 42713148 49832006 60510293 74748009 99664012 121020586 149496018 181530879 242041172 298992036 363061758 423572051 726123516 847144102 1270716153 1694288204 2541432306 5082864612