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85416183720 = 23335711298437
BaseRepresentation
bin100111110001100110…
…0111000011110101000
322011110210121201022000
41033203030320132220
52344413020334340
6103123433131000
76112456403460
oct1174314703650
9264423551260
1085416183720
113325223307a
1214679859a60
13809328035a
1441c4214ba0
15234dc33d30
hex13e33387a8

85416183720 has 128 divisors (see below), whose sum is σ = 325395014400. Its totient is φ = 19523697408.

The previous prime is 85416183719. The next prime is 85416183731. The reversal of 85416183720 is 2738161458.

85416183720 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 618 + 3 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 5641659 + ... + 5656778.

It is an arithmetic number, because the mean of its divisors is an integer number (2542148550).

Almost surely, 285416183720 is an apocalyptic number.

It is an amenable number.

85416183720 is an abundant number, since it is smaller than the sum of its proper divisors (239978830680).

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

85416183720 is a wasteful number, since it uses less digits than its factorization.

85416183720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298464 (or 11298454 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85416183720 in words is "eighty-five billion, four hundred sixteen million, one hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 11298437 22596874 33895311 45193748 56492185 67790622 79089059 90387496 101685933 112984370 135581244 158178118 169476555 203371866 225968740 237267177 271162488 305057799 316356236 338953110 395445295 406743732 451937480 474534354 508429665 610115598 632712472 677906220 711801531 790890590 813487464 949068708 1016859330 1186335885 1220231196 1355812440 1423603062 1525288995 1581781180 1898137416 2033718660 2135404593 2372671770 2440462392 2847206124 3050577990 3163562360 3559007655 4067437320 4270809186 4745343540 5694412248 6101155980 7118015310 8541618372 9490687080 10677022965 12202311960 14236030620 17083236744 21354045930 28472061240 42708091860 85416183720