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85418278380 = 22335169993103
BaseRepresentation
bin100111110001101010…
…0110111110111101100
322011110221120010122000
41033203110313313230
52344414034402010
6103123550052300
76112513246401
oct1174324676754
9264427503560
1085418278380
11332534338a6
121467a4aa090
1380938348b6
1441c45dc2a8
15234dee97c0
hex13e3537dec

85418278380 has 96 divisors (see below), whose sum is σ = 265905024000. Its totient is φ = 22764556224.

The previous prime is 85418278367. The next prime is 85418278381. The reversal of 85418278380 is 8387281458.

85418278380 is a `hidden beast` number, since 85 + 4 + 182 + 7 + 8 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85418278381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870909 + ... + 964011.

It is an arithmetic number, because the mean of its divisors is an integer number (2769844000).

Almost surely, 285418278380 is an apocalyptic number.

It is an amenable number.

85418278380 is an abundant number, since it is smaller than the sum of its proper divisors (180486745620).

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

85418278380 is a wasteful number, since it uses less digits than its factorization.

85418278380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94820 (or 94812 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85418278380 in words is "eighty-five billion, four hundred eighteen million, two hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1699 3398 5097 6796 8495 10194 15291 16990 20388 25485 30582 33980 45873 50970 61164 76455 91746 93103 101940 152910 183492 186206 229365 279309 305820 372412 458730 465515 558618 837927 917460 931030 1117236 1396545 1675854 1862060 2513781 2793090 3351708 4189635 5027562 5586180 8379270 10055124 12568905 16758540 25137810 50275620 158181997 316363994 474545991 632727988 790909985 949091982 1423637973 1581819970 1898183964 2372729955 2847275946 3163639940 4270913919 4745459910 5694551892 7118189865 8541827838 9490919820 14236379730 17083655676 21354569595 28472759460 42709139190 85418278380