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85902803500 = 22532311716379
BaseRepresentation
bin101000000000000110…
…1001100001000101100
322012201201021120010211
41100000031030020230
52401412104203000
6103244015112204
76130515532153
oct1200015141054
9265651246124
1085902803500
1133481990788
1214794812664
13814002c157
14422cac659a
15237b8077ba
hex140034c22c

85902803500 has 96 divisors (see below), whose sum is σ = 195966650880. Its totient is φ = 32833944000.

The previous prime is 85902803491. The next prime is 85902803501. The reversal of 85902803500 is 530820958.

It is a super-3 number, since 3×859028035003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85902803501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13463311 + ... + 13469689.

It is an arithmetic number, because the mean of its divisors is an integer number (2041319280).

Almost surely, 285902803500 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 85902803500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97983325440).

85902803500 is an abundant number, since it is smaller than the sum of its proper divisors (110063847380).

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

85902803500 is a wasteful number, since it uses less digits than its factorization.

85902803500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 85902803500 in words is "eighty-five billion, nine hundred two million, eight hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 1171 2300 2342 2875 4684 5750 5855 6379 11500 11710 12758 23420 25516 26933 29275 31895 53866 58550 63790 107732 117100 127580 134665 146375 146717 159475 269330 292750 293434 318950 538660 585500 586868 637900 673325 733585 797375 1346650 1467170 1594750 2693300 2934340 3189500 3366625 3667925 6733250 7335850 7469809 13466500 14671700 14939618 18339625 29879236 36679250 37349045 73358500 74698090 149396180 171805607 186745225 343611214 373490450 687222428 746980900 859028035 933726125 1718056070 1867452250 3436112140 3734904500 4295140175 8590280350 17180560700 21475700875 42951401750 85902803500