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5010012432 = 243312319421
BaseRepresentation
bin1001010101001111…
…01011100100010000
3110221011020000001000
410222213223210100
540230030344212
62145045542000
7235103255145
oct45247534420
913834200030
105010012432
112141026547
12b79a14900
1361ac55cc9
1435754a3cc
151e4c831dc
hex12a9eb910

5010012432 has 80 divisors (see below), whose sum is σ = 14393800960. Its totient is φ = 1668470400.

The previous prime is 5010012419. The next prime is 5010012437. The reversal of 5010012432 is 2342100105.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5010012437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527082 + ... + 536502.

It is an arithmetic number, because the mean of its divisors is an integer number (179922512).

Almost surely, 25010012432 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 5010012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196900480).

5010012432 is an abundant number, since it is smaller than the sum of its proper divisors (9383788528).

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

5010012432 is a wasteful number, since it uses less digits than its factorization.

5010012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10669 (or 10657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5010012432 is about 70781.4412964302. The cubic root of 5010012432 is about 1711.1165868355.

Adding to 5010012432 its reverse (2342100105), we get a palindrome (7352112537).

The spelling of 5010012432 in words is "five billion, ten million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1231 2462 3693 4924 7386 9421 9848 11079 14772 18842 19696 22158 28263 29544 33237 37684 44316 56526 59088 66474 75368 84789 88632 113052 132948 150736 169578 177264 226104 254367 265896 339156 452208 508734 531792 678312 1017468 1356624 2034936 4069872 11597251 23194502 34791753 46389004 69583506 92778008 104375259 139167012 185556016 208750518 278334024 313125777 417501036 556668048 626251554 835002072 1252503108 1670004144 2505006216 5010012432