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5012114968 = 237314721307
BaseRepresentation
bin1001010101011111…
…01100111000011000
3110221022011211011201
410222233230320120
540231100134333
62145203003544
7235130163040
oct45257547030
913838154151
105012114968
112142232183
12b7a6695b4
1361b511003
14357936720
151e504b17d
hex12abece18

5012114968 has 96 divisors (see below), whose sum is σ = 11336279040. Its totient is φ = 2032971840.

The previous prime is 5012114929. The next prime is 5012114969. The reversal of 5012114968 is 8694112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012114969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834171 + ... + 3835477.

It is an arithmetic number, because the mean of its divisors is an integer number (118086240).

Almost surely, 25012114968 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 5012114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668139520).

5012114968 is an abundant number, since it is smaller than the sum of its proper divisors (6324164072).

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

5012114968 is a wasteful number, since it uses less digits than its factorization.

5012114968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 5012114968 is about 70796.2920497959. The cubic root of 5012114968 is about 1711.3559196459.

The spelling of 5012114968 in words is "five billion, twelve million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 658 868 1307 1316 1457 1736 2209 2614 2632 2914 4418 5228 5828 8836 9149 10199 10456 11656 15463 17672 18298 20398 30926 36596 40517 40796 61429 61852 68479 73192 81034 81592 122858 123704 136958 162068 245716 273916 283619 324136 430003 479353 491432 547832 567238 860006 958706 1134476 1720012 1904299 1917412 2268952 2887163 3440024 3808598 3834824 5774326 7617196 11548652 13330093 15234392 20210141 23097304 26660186 40420282 53320372 80840564 89502053 106640744 161681128 179004106 358008212 626514371 716016424 1253028742 2506057484 5012114968