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5130615852 = 22322941671789
BaseRepresentation
bin1001100011100111…
…01111110000101100
3111020120011021211100
410301303233300230
541001414201402
62205034523100
7241066341465
oct46163576054
914216137740
105130615852
1121a310a69a
12bb2296490
13639c3178b
14369581d6c
1520065771c
hex131cefc2c

5130615852 has 144 divisors (see below), whose sum is σ = 13956415200. Its totient is φ = 1586027520.

The previous prime is 5130615851. The next prime is 5130615901. The reversal of 5130615852 is 2585160315.

It is a happy number.

5130615852 is a `hidden beast` number, since 5 + 1 + 30 + 615 + 8 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5130615851) 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, 2866974 + ... + 2868762.

It is an arithmetic number, because the mean of its divisors is an integer number (96919550).

Almost surely, 25130615852 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 5130615852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978207600).

5130615852 is an abundant number, since it is smaller than the sum of its proper divisors (8825799348).

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

5130615852 is a wasteful number, since it uses less digits than its factorization.

5130615852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5130615852 is about 71628.3173891444. The cubic root of 5130615852 is about 1724.7381359270.

The spelling of 5130615852 in words is "five billion, one hundred thirty million, six hundred fifteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 67 82 87 116 123 134 164 174 201 246 261 268 348 369 402 492 522 603 738 804 1044 1189 1206 1476 1789 1943 2378 2412 2747 3567 3578 3886 4756 5367 5494 5829 7134 7156 7772 8241 10701 10734 10988 11658 14268 16101 16482 17487 21402 21468 23316 24723 32202 32964 34974 42804 49446 51881 64404 69948 73349 79663 98892 103762 119863 146698 155643 159326 207524 220047 238989 239726 293396 311286 318652 359589 440094 466929 477978 479452 622572 660141 716967 719178 880188 933858 955956 1078767 1320282 1433934 1438356 1867716 2127121 2157534 2640564 2867868 3476027 4254242 4315068 4914383 6381363 6952054 8508484 9828766 10428081 12762726 13904108 14743149 19144089 19657532 20856162 25525452 29486298 31284243 38288178 41712324 44229447 58972596 62568486 76576356 88458894 125136972 142517107 176917788 285034214 427551321 570068428 855102642 1282653963 1710205284 2565307926 5130615852