Search a number
-
+
41829152118 = 23131983933641
BaseRepresentation
bin100110111101001101…
…100011010101110110
310222222010221002111020
4212331031203111312
51141131230331433
631114355522010
73010364632545
oct467515432566
9128863832436
1041829152118
1116815514106
1281345b9306
133c3800b6b0
14204b4b215c
15114c39ccb3
hex9bd363576

41829152118 has 64 divisors (see below), whose sum is σ = 94951180800. Its totient is φ = 12178218240.

The previous prime is 41829152111. The next prime is 41829152149. The reversal of 41829152118 is 81125192814.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41829152118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41829152111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226578 + ... + 1260218.

It is an arithmetic number, because the mean of its divisors is an integer number (1483612200).

Almost surely, 241829152118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41829152118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47475590400).

41829152118 is an abundant number, since it is smaller than the sum of its proper divisors (53122028682).

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

41829152118 is a wasteful number, since it uses less digits than its factorization.

41829152118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34517.

The product of its digits is 46080, while the sum is 42.

The spelling of 41829152118 in words is "forty-one billion, eight hundred twenty-nine million, one hundred fifty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 839 1482 1678 2517 5034 10907 15941 21814 31882 32721 33641 47823 65442 67282 95646 100923 201846 207233 414466 437333 621699 639179 874666 1243398 1278358 1311999 1917537 2623998 3835074 8309327 16618654 24927981 28224799 49855962 56449598 84674397 169348794 366922387 536271181 733844774 1072542362 1100767161 1608813543 2201534322 3217627086 6971525353 13943050706 20914576059 41829152118