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11142417936 = 2431397184087
BaseRepresentation
bin10100110000010001…
…11100111000010000
31001202112102110220210
422120020330320100
5140304424333221
65041352404120
7543055663326
oct123010747020
931675373823
1011142417936
1147a8671571
1221ab6a6640
1310875a0410
14779b83d16
15453322276
hex29823ce10

11142417936 has 80 divisors (see below), whose sum is σ = 31318523264. Its totient is φ = 3393073152.

The previous prime is 11142417889. The next prime is 11142417941. The reversal of 11142417936 is 63971424111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11142417894 and 11142417903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31516 + ... + 152571.

Almost surely, 211142417936 is an apocalyptic number.

11142417936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11142417936 is an abundant number, since it is smaller than the sum of its proper divisors (20176105328).

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

11142417936 is a wasteful number, since it uses less digits than its factorization.

11142417936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184208 (or 184202 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 11142417936 in words is "eleven billion, one hundred forty-two million, four hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 60528 184087 368174 552261 736348 1104522 1472696 2209044 2393131 2945392 4418088 4786262 7179393 8836176 9572524 14358786 17856439 19145048 28717572 35712878 38290096 53569317 57435144 71425756 107138634 114870288 142851512 214277268 232133707 285703024 428554536 464267414 696401121 857109072 928534828 1392802242 1857069656 2785604484 3714139312 5571208968 11142417936