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80095136850 = 2345238775101
BaseRepresentation
bin100101010011000001…
…0101100110001010010
321122201222010112020000
41022212002230301102
52303013323334400
6100443432430430
75533555300341
oct1124602546122
9248658115200
1080095136850
1130a71686883
1213633848416
137725a64c01
143c3b661b58
15213ba12600
hex12a60acc52

80095136850 has 120 divisors (see below), whose sum is σ = 222646861668. Its totient is φ = 21349008000.

The previous prime is 80095136839. The next prime is 80095136893. The reversal of 80095136850 is 5863159008.

80095136850 is a `hidden beast` number, since 80 + 0 + 9 + 513 + 6 + 8 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1393006329 + 78702130521 = 37323^2 + 280539^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 80095136796 and 80095136805.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15699300 + ... + 15704400.

Almost surely, 280095136850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80095136850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111323430834).

80095136850 is an abundant number, since it is smaller than the sum of its proper divisors (142551724818).

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

80095136850 is a wasteful number, since it uses less digits than its factorization.

80095136850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 80095136850 in words is "eighty billion, ninety-five million, one hundred thirty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 3877 4050 5101 7754 10202 11631 15303 19385 23262 25505 30606 34893 38770 45909 51010 58155 69786 76515 91818 96925 104679 116310 127525 137727 153030 174465 193850 209358 229545 255050 275454 290775 314037 348930 382575 413181 459090 523395 581550 628074 688635 765150 826362 872325 1046790 1147725 1377270 1570185 1744650 2065905 2295450 2616975 3140370 3443175 4131810 5233950 6886350 7850925 10329525 15701850 19776577 20659050 39553154 59329731 98882885 118659462 177989193 197765770 296648655 355978386 494414425 533967579 593297310 889945965 988828850 1067935158 1483243275 1601902737 1779891930 2669837895 2966486550 3203805474 4449729825 5339675790 8009513685 8899459650 13349189475 16019027370 26698378950 40047568425 80095136850