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85008032802 = 232711227270191
BaseRepresentation
bin100111100101011011…
…1111010010000100010
322010102100121111111100
41033022313322100202
52343044024022202
6103015133055230
76066402233220
oct1171267722042
9263370544440
1085008032802
1133062900270
1214585027516
138029846a34
144185d2bb10
152327eb041c
hex13cadfa422

85008032802 has 96 divisors (see below), whose sum is σ = 230644537344. Its totient is φ = 21982658400.

The previous prime is 85008032777. The next prime is 85008032807. The reversal of 85008032802 is 20823080058.

It is not an unprimeable number, because it can be changed into a prime (85008032807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 179527 + ... + 449717.

It is an arithmetic number, because the mean of its divisors is an integer number (2402547264).

Almost surely, 285008032802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85008032802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322268672).

85008032802 is an abundant number, since it is smaller than the sum of its proper divisors (145636504542).

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

85008032802 is a wasteful number, since it uses less digits than its factorization.

85008032802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270444 (or 270441 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 85008032802 in words is "eighty-five billion, eight million, thirty-two thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 227 231 454 462 681 693 1362 1386 1589 2043 2497 3178 4086 4767 4994 7491 9534 14301 14982 17479 22473 28602 34958 44946 52437 104874 157311 270191 314622 540382 810573 1621146 1891337 2431719 2972101 3782674 4863438 5674011 5944202 8916303 11348022 17022033 17832606 20804707 26748909 34044066 41609414 53497818 61333357 62414121 122666714 124828242 184000071 187242363 368000142 374484726 429333499 552000213 674666927 858666998 1104000426 1288000497 1349333854 2024000781 2576000994 3864001491 4048001562 4722668489 6072002343 7728002982 9445336978 12144004686 14168005467 28336010934 42504016401 85008032802