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85187501040 = 24352691319509
BaseRepresentation
bin100111101010110010…
…0100001101111110000
322010212212022102122010
41033111210201233300
52343431000013130
6103045023442520
76104011545225
oct1172544415760
9263785272563
1085187501040
113314513a424
1214615156440
138057a92865
1441a1ac794c
152338b110b0
hex13d5921bf0

85187501040 has 80 divisors (see below), whose sum is σ = 265063168800. Its totient is φ = 22632201216.

The previous prime is 85187500961. The next prime is 85187501093. The reversal of 85187501040 is 4010578158.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85187501040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595195 + ... + 724314.

It is an arithmetic number, because the mean of its divisors is an integer number (3313289610).

Almost surely, 285187501040 is an apocalyptic number.

85187501040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85187501040 is an abundant number, since it is smaller than the sum of its proper divisors (179875667760).

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

85187501040 is a wasteful number, since it uses less digits than its factorization.

85187501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319794 (or 1319788 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The spelling of 85187501040 in words is "eighty-five billion, one hundred eighty-seven million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10760 12912 16140 21520 32280 64560 1319509 2639018 3958527 5278036 6597545 7917054 10556072 13195090 15834108 19792635 21112144 26390180 31668216 39585270 52780360 63336432 79170540 105560720 158341080 316682160 354947921 709895842 1064843763 1419791684 1774739605 2129687526 2839583368 3549479210 4259375052 5324218815 5679166736 7098958420 8518750104 10648437630 14197916840 17037500208 21296875260 28395833680 42593750520 85187501040