Search a number
-
+
11770648836 = 223174110912911
BaseRepresentation
bin10101111011001010…
…11101100100000100
31010101022112220200220
422331211131210010
5143101241230321
65223553504340
7564454602312
oct127545354404
933338486626
1011770648836
114aa0251761
122345b720b0
1311577a198b
147d93990b2
1548d5699c6
hex2bd95d904

11770648836 has 96 divisors (see below), whose sum is σ = 30065333760. Its totient is φ = 3569356800.

The previous prime is 11770648831. The next prime is 11770648849. The reversal of 11770648836 is 63884607711.

11770648836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11770648831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905221 + ... + 918131.

It is an arithmetic number, because the mean of its divisors is an integer number (313180560).

Almost surely, 211770648836 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 11770648836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032666880).

11770648836 is an abundant number, since it is smaller than the sum of its proper divisors (18294684924).

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

11770648836 is a wasteful number, since it uses less digits than its factorization.

11770648836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13085 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 11770648836 in words is "eleven billion, seven hundred seventy million, six hundred forty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 109 123 164 204 218 246 327 436 492 654 697 1308 1394 1853 2091 2788 3706 4182 4469 5559 7412 8364 8938 11118 12911 13407 17876 22236 25822 26814 38733 51644 53628 75973 77466 151946 154932 219487 227919 303892 438974 455838 529351 658461 877948 911676 1058702 1316922 1407299 1588053 2117404 2633844 2814598 3176106 4221897 5629196 6352212 8443794 8998967 16887588 17997934 23924083 26996901 35995868 47848166 53993802 57699259 71772249 95696332 107987604 115398518 143544498 173097777 230797036 287088996 346195554 692391108 980887403 1961774806 2942662209 3923549612 5885324418 11770648836