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5086682406 = 2321324190199
BaseRepresentation
bin1001011110011000…
…01001110100100110
3111010111111020110200
410233030021310212
540404142314111
62200425131330
7240024041601
oct45714116446
914114436420
105086682406
112180332863
12b9b629b46
13630abb760
143637c7338
151eb87a256
hex12f309d26

5086682406 has 48 divisors (see below), whose sum is σ = 11918306400. Its totient is φ = 1558621440.

The previous prime is 5086682383. The next prime is 5086682429. The reversal of 5086682406 is 6042866805.

5086682406 is a `hidden beast` number, since 508 + 66 + 82 + 4 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5086682383) and next prime (5086682429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11295 + ... + 101493.

It is an arithmetic number, because the mean of its divisors is an integer number (248298050).

Almost surely, 25086682406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086682406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959153200).

5086682406 is an abundant number, since it is smaller than the sum of its proper divisors (6831623994).

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

5086682406 is a wasteful number, since it uses less digits than its factorization.

5086682406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90461 (or 90458 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5086682406 is about 71320.9815271775. The cubic root of 5086682406 is about 1719.8010413006.

The spelling of 5086682406 in words is "five billion, eighty-six million, six hundred eighty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 241 482 723 1446 2169 3133 4338 6266 9399 18798 28197 56394 90199 180398 270597 541194 811791 1172587 1623582 2345174 3517761 7035522 10553283 21106566 21737959 43475918 65213877 130427754 195641631 282593467 391283262 565186934 847780401 1695560802 2543341203 5086682406