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5009312910 = 235733770783
BaseRepresentation
bin1001010101001010…
…00000110010001110
3110221002220110110210
410222211000302032
540224341003120
62145022543250
7235064312550
oct45245006216
913832813423
105009312910
112140698a28
12b79737b26
1361aa6c7a4
143574074d0
151e4b95ce0
hex12a940c8e

5009312910 has 64 divisors (see below), whose sum is σ = 13780795392. Its totient is φ = 1141572096.

The previous prime is 5009312887. The next prime is 5009312923. The reversal of 5009312910 is 192139005.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35379 + ... + 106161.

It is an arithmetic number, because the mean of its divisors is an integer number (215324928).

Almost surely, 25009312910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009312910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890397696).

5009312910 is an abundant number, since it is smaller than the sum of its proper divisors (8771482482).

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

5009312910 is a wasteful number, since it uses less digits than its factorization.

5009312910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71137.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 5009312910 is about 70776.4997015252. The cubic root of 5009312910 is about 1711.0369450232.

The spelling of 5009312910 in words is "five billion, nine million, three hundred twelve thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 337 674 1011 1685 2022 2359 3370 4718 5055 7077 10110 11795 14154 23590 35385 70770 70783 141566 212349 353915 424698 495481 707830 990962 1061745 1486443 2123490 2477405 2972886 4954810 7432215 14864430 23853871 47707742 71561613 119269355 143123226 166977097 238538710 333954194 357808065 500931291 715616130 834885485 1001862582 1669770970 2504656455 5009312910