Search a number
-
+
103564455104 = 2611502329287
BaseRepresentation
bin110000001110011101…
…1000010110011000000
3100220022120210102102102
41200130323002303000
53144100000030404
6115324333405532
710324265225615
oct1403473026300
9326276712372
10103564455104
113aa15486a70
12180a36398a8
1399c6125a86
1450265da50c
152a6212971e
hex181cec2cc0

103564455104 has 56 divisors (see below), whose sum is σ = 224245797888. Its totient is φ = 47063773440.

The previous prime is 103564455083. The next prime is 103564455151. The reversal of 103564455104 is 401554465301.

It is a super-3 number, since 3×1035644551043 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521549 + ... + 3550835.

It is an arithmetic number, because the mean of its divisors is an integer number (4004389248).

Almost surely, 2103564455104 is an apocalyptic number.

It is an amenable number.

103564455104 is an abundant number, since it is smaller than the sum of its proper divisors (120681342784).

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

103564455104 is a wasteful number, since it uses less digits than its factorization.

103564455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34333 (or 34323 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 103564455104 in words is "one hundred three billion, five hundred sixty-four million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 5023 10046 20092 29287 40184 55253 58574 80368 110506 117148 160736 221012 234296 321472 322157 442024 468592 644314 884048 937184 1288628 1768096 1874368 2577256 3536192 5154512 10309024 20618048 147108601 294217202 588434404 1176868808 1618194611 2353737616 3236389222 4707475232 6472778444 9414950464 12945556888 25891113776 51782227552 103564455104