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5085039312 = 2432197126177
BaseRepresentation
bin1001011110001011…
…11000101011010000
3111010101101202120100
410233011320223100
540403232224222
62200330012400
7240004056333
oct45705705320
914111352510
105085039312
11217a410331
12b9ab77100
13630664902
143634ba61a
151eb6534ac
hex12f178ad0

5085039312 has 120 divisors (see below), whose sum is σ = 15191616960. Its totient is φ = 1583124480.

The previous prime is 5085039301. The next prime is 5085039359. The reversal of 5085039312 is 2139305805.

5085039312 is a `hidden beast` number, since 50 + 8 + 503 + 93 + 12 = 666.

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

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, 181168 + ... + 207344.

It is an arithmetic number, because the mean of its divisors is an integer number (126596808).

Almost surely, 25085039312 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 5085039312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595808480).

5085039312 is an abundant number, since it is smaller than the sum of its proper divisors (10106577648).

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

5085039312 is a wasteful number, since it uses less digits than its factorization.

5085039312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5085039312 is about 71309.4615882072. The cubic root of 5085039312 is about 1719.6158453410.

The spelling of 5085039312 in words is "five billion, eighty-five million, thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 284 304 342 426 456 568 639 684 852 912 1136 1278 1349 1368 1704 2556 2698 2736 3408 4047 5112 5396 8094 10224 10792 12141 16188 21584 24282 26177 32376 48564 52354 64752 78531 97128 104708 157062 194256 209416 235593 314124 418832 471186 497363 628248 942372 994726 1256496 1492089 1858567 1884744 1989452 2984178 3717134 3769488 3978904 4476267 5575701 5968356 7434268 7957808 8952534 11151402 11936712 14868536 16727103 17905068 22302804 23873424 29737072 33454206 35312773 35810136 44605608 66908412 70625546 71620272 89211216 105938319 133816824 141251092 211876638 267633648 282502184 317814957 423753276 565004368 635629914 847506552 1271259828 1695013104 2542519656 5085039312