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5185876068 = 2233711973433
BaseRepresentation
bin1001101010001101…
…00011000001100100
3111101102010210121000
410311012203001210
541110041013233
62214331153300
7242340135132
oct46506430144
914342123530
105185876068
11222132349a
1210088a5830
1364850c229
14372a48752
15205420d13
hex1351a3064

5185876068 has 96 divisors (see below), whose sum is σ = 13707429120. Its totient is φ = 1695133440.

The previous prime is 5185876049. The next prime is 5185876099. The reversal of 5185876068 is 8606785815.

5185876068 is a `hidden beast` number, since 51 + 8 + 587 + 6 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1508880 + ... + 1512312.

It is an arithmetic number, because the mean of its divisors is an integer number (142785720).

Almost surely, 25185876068 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 5185876068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853714560).

5185876068 is an abundant number, since it is smaller than the sum of its proper divisors (8521553052).

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

5185876068 is a wasteful number, since it uses less digits than its factorization.

5185876068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5185876068 is about 72013.0270714959. The cubic root of 5185876068 is about 1730.9082368327.

The spelling of 5185876068 in words is "five billion, one hundred eighty-five million, eight hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 197 213 284 394 426 591 639 788 852 1182 1278 1773 1917 2364 2556 3433 3546 3834 5319 6866 7092 7668 10299 10638 13732 13987 20598 21276 27974 30897 41196 41961 55948 61794 83922 92691 123588 125883 167844 185382 243743 251766 370764 377649 487486 503532 676301 731229 755298 974972 1352602 1462458 1510596 2028903 2193687 2705204 2924916 4057806 4387374 6086709 6581061 8115612 8774748 12173418 13162122 18260127 24346836 26324244 36520254 48017371 73040508 96034742 144052113 192069484 288104226 432156339 576208452 864312678 1296469017 1728625356 2592938034 5185876068