Search a number
-
+
11050100000604 = 22327239590331081
BaseRepresentation
bin1010000011001100110101…
…0010010000011101011100
31110010101020110122101222100
42200303031102100131130
52422021101100004404
635300202412245100
72220225531153120
oct240631522203534
943111213571870
1011050100000604
113580359413995
1212a5700170790
13622034b07922
142a2b83297580
15142689c03d39
hexa0ccd49075c

11050100000604 has 144 divisors (see below), whose sum is σ = 32062540124160. Its totient is φ = 3143327765760.

The previous prime is 11050100000593. The next prime is 11050100000651. The reversal of 11050100000604 is 40600000105011.

11050100000604 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 10 + 0 + 0 + 0 + 0 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 355510344 + ... + 355541424.

It is an arithmetic number, because the mean of its divisors is an integer number (222656528640).

Almost surely, 211050100000604 is an apocalyptic number.

11050100000604 is a gapful number since it is divisible by the number (14) 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 11050100000604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031270062080).

11050100000604 is an abundant number, since it is smaller than the sum of its proper divisors (21012440123556).

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

11050100000604 is a wasteful number, since it uses less digits than its factorization.

11050100000604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37240 (or 37235 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11050100000604 its reverse (40600000105011), we get a palindrome (51650100105615).

The spelling of 11050100000604 in words is "eleven trillion, fifty billion, one hundred million, six hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3346 4302 5019 5903 6692 8604 10038 11806 15057 17709 20076 23612 30114 31081 35418 41321 53127 60228 62162 70836 82642 93243 106254 123963 124324 165284 186486 212508 217567 247926 279729 371889 372972 435134 495852 559458 652701 743778 870268 1118916 1305402 1410817 1487556 1958103 2610804 2821634 3916206 4232451 5643268 7428359 7832412 8464902 9875719 12697353 14856718 16929804 19751438 22285077 25394706 29627157 29713436 39502876 44570154 50789412 51998513 59254314 66855231 88881471 89140308 103997026 118508628 133710462 155995539 177762942 183471143 207994052 267420924 311991078 355525884 366942286 467986617 550413429 623982156 733884572 935973234 1100826858 1284298001 1651240287 1871946468 2201653716 2568596002 3302480574 3852894003 5137192004 6604961148 7705788006 11558682009 15411576012 23117364018 43849603177 46234728036 87699206354 131548809531 175398412708 263097619062 306947222239 394646428593 526195238124 613894444478 789292857186 920841666717 1227788888956 1578585714372 1841683333434 2762525000151 3683366666868 5525050000302 11050100000604