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86103003136 = 212237511217
BaseRepresentation
bin101000000110000100…
…0111001000000000000
322020020122222202102011
41100030020321000000
52402314332100021
6103315530102304
76135466310443
oct1201410710000
9266218882364
1086103003136
113357499a727
121482b87a994
138172656287
14424b51b65a
15238e1a0de1
hex140c239000

86103003136 has 104 divisors (see below), whose sum is σ = 180058362624. Its totient is φ = 41091072000.

The previous prime is 86103003121. The next prime is 86103003139. The reversal of 86103003136 is 63130030168.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86103003098 and 86103003107.

It is not an unprimeable number, because it can be changed into a prime (86103003139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70749600 + ... + 70750816.

Almost surely, 286103003136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86103003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90029181312).

86103003136 is an abundant number, since it is smaller than the sum of its proper divisors (93955359488).

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

86103003136 is a wasteful number, since it uses less digits than its factorization.

86103003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 86103003136 in words is "eighty-six billion, one hundred three million, three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 751 1024 1217 1472 1502 2048 2434 2944 3004 4096 4868 5888 6008 9736 11776 12016 17273 19472 23552 24032 27991 34546 38944 47104 48064 55982 69092 77888 94208 96128 111964 138184 155776 192256 223928 276368 311552 384512 447856 552736 623104 769024 895712 913967 1105472 1246208 1538048 1791424 1827934 2210944 2492416 3076096 3582848 3655868 4421888 4984832 7165696 7311736 8843776 14331392 14623472 17687552 21021241 28662784 29246944 35375104 42042482 57325568 58493888 70750208 84084964 114651136 116987776 168169928 233975552 336339856 467951104 672679712 935902208 1345359424 1871804416 2690718848 3743608832 5381437696 10762875392 21525750784 43051501568 86103003136