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5319753084 = 223517437487
BaseRepresentation
bin1001111010001010…
…01111110101111100
3111201202001110100000
410331011033311330
541343324044314
62235512434300
7245554104132
oct47505176574
914652043300
105319753084
11228a953258
1210456a8990
1366a1845b9
14386737752
15212068209
hex13d14fd7c

5319753084 has 144 divisors (see below), whose sum is σ = 15110903808. Its totient is φ = 1629911808.

The previous prime is 5319753083. The next prime is 5319753091. The reversal of 5319753084 is 4803579135.

5319753084 is a `hidden beast` number, since 5 + 31 + 9 + 7 + 530 + 84 = 666.

It is a super-2 number, since 2×53197530842 = 56599545749455022112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5319753083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706789 + ... + 714275.

It is an arithmetic number, because the mean of its divisors is an integer number (104936832).

Almost surely, 25319753084 is an apocalyptic number.

5319753084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5319753084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555451904).

5319753084 is an abundant number, since it is smaller than the sum of its proper divisors (9791150724).

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

5319753084 is a wasteful number, since it uses less digits than its factorization.

5319753084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5319753084 is about 72936.6374601955. The cubic root of 5319753084 is about 1745.6767389636.

The spelling of 5319753084 in words is "five billion, three hundred nineteen million, seven hundred fifty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 81 86 102 108 129 153 162 172 204 243 258 306 324 387 459 486 516 612 731 774 918 972 1161 1377 1462 1548 1836 2193 2322 2754 2924 3483 4131 4386 4644 5508 6579 6966 7487 8262 8772 10449 13158 13932 14974 16524 19737 20898 22461 26316 29948 39474 41796 44922 59211 67383 78948 89844 118422 127279 134766 177633 202149 236844 254558 269532 321941 355266 381837 404298 509116 606447 643882 710532 763674 808596 965823 1145511 1212894 1287764 1527348 1819341 1931646 2291022 2425788 2897469 3436533 3638682 3863292 4582044 5472997 5794938 6873066 7277364 8692407 10309599 10945994 11589876 13746132 16418991 17384814 20619198 21891988 26077221 30928797 32837982 34769628 41238396 49256973 52154442 61857594 65675964 78231663 98513946 104308884 123715188 147770919 156463326 197027892 295541838 312926652 443312757 591083676 886625514 1329938271 1773251028 2659876542 5319753084