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85413436308 = 2234280194117
BaseRepresentation
bin100111110001100001…
…0011001101110010100
322011110121110010120000
41033203002121232110
52344411314430213
6103123254211300
76112424141514
oct1174302315624
9264417403500
1085413436308
1133250726992
1214678953b30
13809282a975
1441c3adb844
15234d88ec73
hex13e3099b94

85413436308 has 60 divisors (see below), whose sum is σ = 223369684692. Its totient is φ = 28460678400.

The previous prime is 85413436307. The next prime is 85413436313. The reversal of 85413436308 is 80363431458.

85413436308 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 3 + 4 + 3 + 630 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45067893264 + 40345543044 = 212292^2 + 200862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85413436301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 860466 + ... + 954582.

Almost surely, 285413436308 is an apocalyptic number.

It is an amenable number.

85413436308 is an abundant number, since it is smaller than the sum of its proper divisors (137956248384).

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

85413436308 is a wasteful number, since it uses less digits than its factorization.

85413436308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96934 (or 96923 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 85413436308 in words is "eighty-five billion, four hundred thirteen million, four hundred thirty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2801 5602 8403 11204 16806 25209 33612 50418 75627 94117 100836 151254 188234 226881 282351 302508 376468 453762 564702 847053 907524 1129404 1694106 2541159 3388212 5082318 7623477 10164636 15246954 30493908 263621717 527243434 790865151 1054486868 1581730302 2372595453 3163460604 4745190906 7117786359 9490381812 14235572718 21353359077 28471145436 42706718154 85413436308