Search a number
-
+
11095293104 = 2472340910531
BaseRepresentation
bin10100101010101010…
…01011110010110000
31001122020202021210122
422111111023302300
5140210343334404
65032550345412
7541644302210
oct122525136260
931566667718
1011095293104
114784004a25
12219795b268
13107a8b08bc
147737d8240
1544e1143be
hex29554bcb0

11095293104 has 80 divisors (see below), whose sum is σ = 25701450240. Its totient is φ = 4536829440.

The previous prime is 11095293101. The next prime is 11095293107. The reversal of 11095293104 is 40139259011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11095293101) and next prime (11095293107).

It is not an unprimeable number, because it can be changed into a prime (11095293101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048319 + ... + 1058849.

It is an arithmetic number, because the mean of its divisors is an integer number (321268128).

Almost surely, 211095293104 is an apocalyptic number.

11095293104 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 11095293104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850725120).

11095293104 is an abundant number, since it is smaller than the sum of its proper divisors (14606157136).

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

11095293104 is a wasteful number, since it uses less digits than its factorization.

11095293104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 11095293104 in words is "eleven billion, ninety-five million, two hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 409 644 818 1288 1636 2576 2863 3272 5726 6544 9407 10531 11452 18814 21062 22904 37628 42124 45808 65849 73717 75256 84248 131698 147434 150512 168496 242213 263396 294868 484426 526792 589736 968852 1053584 1179472 1695491 1937704 3390982 3875408 4307179 6781964 8614358 13563928 17228716 27127856 30150253 34457432 60300506 68914864 99065117 120601012 198130234 241202024 396260468 482404048 693455819 792520936 1386911638 1585041872 2773823276 5547646552 11095293104