Search a number
-
+
113919287152 = 2411299159377
BaseRepresentation
bin110101000011000011…
…1100101111101110000
3101220001020020101121111
41222012013211331300
53331301314142102
6124200033403104
711142011651416
oct1520607457560
9356036211544
10113919287152
1144349516600
121a0b3409494
13a98649b928
1457299272b6
152e6b227cd7
hex1a861e5f70

113919287152 has 60 divisors (see below), whose sum is σ = 242856970048. Its totient is φ = 51728371200.

The previous prime is 113919287123. The next prime is 113919287171. The reversal of 113919287152 is 251782919311.

It is a super-2 number, since 2×1139192871522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113919287096 and 113919287105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1888888 + ... + 1948264.

Almost surely, 2113919287152 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 113919287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121428485024).

113919287152 is an abundant number, since it is smaller than the sum of its proper divisors (128937682896).

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

113919287152 is a wasteful number, since it uses less digits than its factorization.

113919287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60398 (or 60381 counting only the distinct ones).

The product of its digits is 272160, while the sum is 49.

It can be divided in two parts, 1139 and 19287152, that added together give a palindrome (19288291).

The spelling of 113919287152 in words is "one hundred thirteen billion, nine hundred nineteen million, two hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 991 1936 1982 3964 7928 10901 15856 21802 43604 59377 87208 118754 119911 174416 237508 239822 475016 479644 653147 950032 959288 1306294 1918576 2612588 5225176 7184617 10450352 14369234 28738468 57476936 58842607 114953872 117685214 235370428 470740856 647268677 941481712 1294537354 2589074708 5178149416 7119955447 10356298832 14239910894 28479821788 56959643576 113919287152