Search a number
-
+
11098022544 = 243472174761
BaseRepresentation
bin10100101010111111…
…00110001010010000
31001122102212221220000
422111133212022100
5140212043210134
65033125050000
7542006430600
oct122537461220
931572787800
1011098022544
1147855a9664
122198856900
13107b32805b
14773d08c00
1544e4a2e99
hex2957e6290

11098022544 has 150 divisors (see below), whose sum is σ = 37365338934. Its totient is φ = 3170845440.

The previous prime is 11098022513. The next prime is 11098022561. The reversal of 11098022544 is 44522089011.

11098022544 is a `hidden beast` number, since 1 + 1 + 0 + 98 + 0 + 22 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6502809600 + 4595212944 = 80640^2 + 67788^2 .

It is a super-2 number, since 2×110980225442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11098022499 and 11098022508.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23877 + ... + 150884.

Almost surely, 211098022544 is an apocalyptic number.

11098022544 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 11098022544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682669467).

11098022544 is an abundant number, since it is smaller than the sum of its proper divisors (26267316390).

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

11098022544 is a wasteful number, since it uses less digits than its factorization.

11098022544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174795 (or 174773 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11098022544 in words is "eleven billion, ninety-eight million, twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 174761 349522 524283 699044 1048566 1223327 1398088 1572849 2097132 2446654 2796176 3145698 3669981 4194264 4718547 4893308 6291396 7339962 8388528 8563289 9437094 9786616 11009943 12582792 14155641 14679924 17126578 18874188 19573232 22019886 25165584 25689867 28311282 29359848 33029829 34253156 37748376 44039772 51379734 56622564 58719696 66059658 68506312 75496752 77069601 88079544 99089487 102759468 113245128 132119316 137012624 154139202 176159088 198178974 205518936 226490256 231208803 264238632 308278404 396357948 411037872 462417606 528477264 616556808 693626409 792715896 924835212 1233113616 1387252818 1585431792 1849670424 2774505636 3699340848 5549011272 11098022544