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5006111000112 = 243216321308467
BaseRepresentation
bin100100011011001001101…
…1101111100011000110000
3122201120122111001002121200
41020312103131330120300
51124010003404000422
614351435312251200
71024452045256035
oct110662335743060
918646574032550
105006111000112
111660097172382
1268a274540b00
132a40c7155671
1413442320b38c
158a348e832ac
hex48d9377c630

5006111000112 has 90 divisors (see below), whose sum is σ = 14096647842732. Its totient is φ = 1658464953408.

The previous prime is 5006111000087. The next prime is 5006111000113. The reversal of 5006111000112 is 2110001116005.

It is a happy number.

5006111000112 is a `hidden beast` number, since 50 + 0 + 611 + 1 + 0 + 0 + 0 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×50061110001122 (a number of 26 digits) contains 22 as substring.

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 (5006111000113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3171703 + ... + 4480169.

Almost surely, 25006111000112 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 5006111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048323921366).

5006111000112 is an abundant number, since it is smaller than the sum of its proper divisors (9090536842620).

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

5006111000112 is a wasteful number, since it uses less digits than its factorization.

5006111000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308807 (or 1308635 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 5006111000112 its reverse (2110001116005), we get a palindrome (7116112116117).

The spelling of 5006111000112 in words is "five trillion, six billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5868 7824 11736 23472 26569 53138 79707 106276 159414 212552 239121 318828 425104 478242 637656 956484 1275312 1308467 1912968 2616934 3825936 3925401 5233868 7850802 10467736 11776203 15701604 20935472 23552406 31403208 47104812 62806416 94209624 188419248 213280121 426560242 639840363 853120484 1279680726 1706240968 1919521089 2559361452 3412481936 3839042178 5118722904 7678084356 10237445808 15356168712 30712337424 34764659723 69529319446 104293979169 139058638892 208587958338 278117277784 312881937507 417175916676 556234555568 625763875014 834351833352 1251527750028 1668703666704 2503055500056 5006111000112