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85041279360 = 2732514764111
BaseRepresentation
bin100111100110011011…
…0101111000110000000
322010111200011121012100
41033030312233012000
52343131031414420
6103022321430400
76100254643032
oct1171466570600
9263450147170
1085041279360
113307a648964
121459419b400
1380336b765b
14418a503c52
15232ad7b190
hex13ccdaf180

85041279360 has 96 divisors (see below), whose sum is σ = 293658187680. Its totient is φ = 22677672960.

The previous prime is 85041279293. The next prime is 85041279391. The reversal of 85041279360 is 6397214058.

85041279360 is a `hidden beast` number, since 8 + 504 + 12 + 79 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7376296 + ... + 7387815.

It is an arithmetic number, because the mean of its divisors is an integer number (3058939455).

It is a 1-persistent number, because it is pandigital, but 2⋅85041279360 = 170082558720 is not.

Almost surely, 285041279360 is an apocalyptic number.

85041279360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85041279360 is an abundant number, since it is smaller than the sum of its proper divisors (208616908320).

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

85041279360 is a wasteful number, since it uses less digits than its factorization.

85041279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764136 (or 14764121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 85041279360 in words is "eighty-five billion, forty-one million, two hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 14764111 29528222 44292333 59056444 73820555 88584666 118112888 132876999 147641110 177169332 221461665 236225776 265753998 295282220 354338664 442923330 472451552 531507996 590564440 664384995 708677328 885846660 944903104 1063015992 1181128880 1328769990 1417354656 1771693320 1889806208 2126031984 2362257760 2657539980 2834709312 3543386640 4252063968 4724515520 5315079960 5669418624 7086773280 8504127936 9449031040 10630159920 14173546560 17008255872 21260319840 28347093120 42520639680 85041279360