Search a number
-
+
103861711632 = 2437338916217
BaseRepresentation
bin110000010111010100…
…0111111001100010000
3100221002022010121201110
41200232220333030100
53200202044233012
6115414032533320
710334534661000
oct1405650771420
9327068117643
10103861711632
1140058257218
12181670b1240
139a428a2c03
145053c98000
152a7d29573c
hex182ea3f310

103861711632 has 160 divisors (see below), whose sum is σ = 313720992000. Its totient is φ = 29596664832.

The previous prime is 103861711621. The next prime is 103861711703. The reversal of 103861711632 is 236117168301.

It is a super-3 number, since 3×1038617116323 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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, 6396388 + ... + 6412604.

It is an arithmetic number, because the mean of its divisors is an integer number (1960756200).

Almost surely, 2103861711632 is an apocalyptic number.

103861711632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103861711632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156860496000).

103861711632 is an abundant number, since it is smaller than the sum of its proper divisors (209859280368).

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

103861711632 is a wasteful number, since it uses less digits than its factorization.

103861711632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16618 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 103861711632 its reverse (236117168301), we get a palindrome (339978879933).

The spelling of 103861711632 in words is "one hundred three billion, eight hundred sixty-one million, seven hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 389 392 588 686 778 784 1029 1167 1176 1372 1556 2058 2334 2352 2723 2744 3112 4116 4668 5446 5488 6224 8169 8232 9336 10892 16217 16338 16464 18672 19061 21784 32434 32676 38122 43568 48651 57183 64868 65352 76244 97302 113519 114366 129736 130704 133427 152488 194604 227038 228732 259472 266854 304976 340557 389208 400281 454076 457464 533708 681114 778416 794633 800562 908152 914928 1067416 1362228 1589266 1601124 1816304 2134832 2383899 2724456 3178532 3202248 4767798 5448912 5562431 6308413 6357064 6404496 9535596 11124862 12616826 12714128 16687293 18925239 19071192 22249724 25233652 33374586 37850478 38142384 44158891 44499448 50467304 66749172 75700956 88317782 88998896 100934608 132476673 133498344 151401912 176635564 264953346 266996688 302803824 309112237 353271128 529906692 618224474 706542256 927336711 1059813384 1236448948 1854673422 2119626768 2163785659 2472897896 3709346844 4327571318 4945795792 6491356977 7418693688 8655142636 12982713954 14837387376 17310285272 25965427908 34620570544 51930855816 103861711632