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5112485460 = 22325271311337
BaseRepresentation
bin1001100001011101…
…00101011001010100
3111012022001011121100
410300232211121110
540432244013320
62203150150100
7240456260265
oct46056453124
914168034540
105112485460
112193956aa5
12ba81b2330
13636254334
14366dc296c
151edc75790
hex130ba5654

5112485460 has 144 divisors (see below), whose sum is σ = 15661481472. Its totient is φ = 1349913600.

The previous prime is 5112485459. The next prime is 5112485527. The reversal of 5112485460 is 645842115.

It is a happy number.

5112485460 is a `hidden beast` number, since 5 + 112 + 4 + 85 + 460 = 666.

It is a super-2 number, since 2×51124854602 = 52275015157422823200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15170412 + ... + 15170748.

It is an arithmetic number, because the mean of its divisors is an integer number (108760288).

Almost surely, 25112485460 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 5112485460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830740736).

5112485460 is an abundant number, since it is smaller than the sum of its proper divisors (10548996012).

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

5112485460 is a wasteful number, since it uses less digits than its factorization.

5112485460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5112485460 is about 71501.6465544675. The cubic root of 5112485460 is about 1722.7041315819.

The spelling of 5112485460 in words is "five billion, one hundred twelve million, four hundred eighty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 311 337 542 622 674 813 933 1011 1084 1244 1348 1355 1555 1626 1685 1866 2022 2439 2710 2799 3033 3110 3252 3370 3732 4044 4065 4665 4878 5055 5420 5598 6066 6220 6740 8130 9330 9756 10110 11196 12132 12195 13995 15165 16260 18660 20220 24390 27990 30330 48780 55980 60660 84281 91327 104807 168562 182654 209614 252843 273981 314421 337124 365308 419228 421405 456635 505686 524035 547962 628842 758529 821943 842810 913270 943263 1011372 1048070 1095924 1257684 1264215 1369905 1517058 1572105 1643886 1685620 1826540 1886526 2096140 2528430 2739810 3034116 3144210 3287772 3773052 3792645 4109715 4716315 5056860 5479620 6288420 7585290 8219430 9432630 15170580 16438860 18865260 28402697 56805394 85208091 113610788 142013485 170416182 255624273 284026970 340832364 426040455 511248546 568053940 852080910 1022497092 1278121365 1704161820 2556242730 5112485460