Search a number
-
+
15103005696 = 210323314951
BaseRepresentation
bin11100001000011010…
…11001010000000000
31102222112222011221100
432010031121100000
5221412332140241
610534353454400
71043160300402
oct160415312000
942875864840
1015103005696
116450286799
122b15b71400
131568ca297c
14a33b98b72
155d5dae9b6
hex384359400

15103005696 has 132 divisors (see below), whose sum is σ = 43750187104. Its totient is φ = 5018112000.

The previous prime is 15103005689. The next prime is 15103005707. The reversal of 15103005696 is 69650030151.

15103005696 is a `hidden beast` number, since 1 + 510 + 3 + 0 + 0 + 56 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15103005696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3048021 + ... + 3052971.

Almost surely, 215103005696 is an apocalyptic number.

15103005696 is a gapful number since it is divisible by the number (16) 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 15103005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875093552).

15103005696 is an abundant number, since it is smaller than the sum of its proper divisors (28647181408).

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

15103005696 is a wasteful number, since it uses less digits than its factorization.

15103005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 15103005696 in words is "fifteen billion, one hundred three million, five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 331 384 512 576 662 768 993 1024 1152 1324 1536 1986 2304 2648 2979 3072 3972 4608 4951 5296 5958 7944 9216 9902 10592 11916 14853 15888 19804 21184 23832 29706 31776 39608 42368 44559 47664 59412 63552 79216 84736 89118 95328 118824 127104 158432 169472 178236 190656 237648 254208 316864 338944 356472 381312 475296 508416 633728 712944 762624 950592 1016832 1267456 1425888 1525248 1638781 1901184 2534912 2851776 3050496 3277562 3802368 4916343 5069824 5703552 6555124 7604736 9832686 11407104 13110248 14749029 15209472 19665372 22814208 26220496 29498058 39330744 45628416 52440992 58996116 78661488 104881984 117992232 157322976 209763968 235984464 314645952 419527936 471968928 629291904 839055872 943937856 1258583808 1678111744 1887875712 2517167616 3775751424 5034335232 7551502848 15103005696