Search a number
-
+
85300102536 = 23311369187539
BaseRepresentation
bin100111101110001001…
…0000100010110001000
322011011201012011211220
41033130102010112020
52344143311240121
6103104125122040
76106546623405
oct1173422042610
9264151164756
1085300102536
11331a2758610
12146469b9320
1380751c906c
1441b2a392ac
1523439546c6
hex13dc484588

85300102536 has 64 divisors (see below), whose sum is σ = 232702329600. Its totient is φ = 25841217600.

The previous prime is 85300102451. The next prime is 85300102561. The reversal of 85300102536 is 63520100358.

It is a super-2 number, since 2×853001025362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 85300102497 and 85300102506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930655 + ... + 1018193.

It is an arithmetic number, because the mean of its divisors is an integer number (3635973900).

Almost surely, 285300102536 is an apocalyptic number.

It is an amenable number.

85300102536 is an abundant number, since it is smaller than the sum of its proper divisors (147402227064).

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

85300102536 is a wasteful number, since it uses less digits than its factorization.

85300102536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91250 (or 91246 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 85300102536 in words is "eighty-five billion, three hundred million, one hundred two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3691 7382 11073 14764 22146 29528 40601 44292 81202 87539 88584 121803 162404 175078 243606 262617 324808 350156 487212 525234 700312 962929 974424 1050468 1925858 2100936 2888787 3851716 5777574 7703432 11555148 23110296 323106449 646212898 969319347 1292425796 1938638694 2584851592 3554170939 3877277388 7108341878 7754554776 10662512817 14216683756 21325025634 28433367512 42650051268 85300102536