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8086102000 = 245331413181
BaseRepresentation
bin1111000011111100…
…00001111111110000
3202212112102112122021
413201332001333300
5113030020231000
63414213121224
7404244506254
oct74176017760
922775375567
108086102000
11347a437129
121698029214
139bb32ba52
14569cbc264
15324d5711a
hex1e1f81ff0

8086102000 has 160 divisors (see below), whose sum is σ = 20681676288. Its totient is φ = 3052800000.

The previous prime is 8086101997. The next prime is 8086102021. The reversal of 8086102000 is 2016808.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

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, 2540410 + ... + 2543590.

Almost surely, 28086102000 is an apocalyptic number.

8086102000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8086102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340838144).

8086102000 is an abundant number, since it is smaller than the sum of its proper divisors (12595574288).

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

8086102000 is a wasteful number, since it uses less digits than its factorization.

8086102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 8086102000 is about 89922.7557406911. The cubic root of 8086102000 is about 2007.1495779789.

Adding to 8086102000 its reverse (2016808), we get a palindrome (8088118808).

The spelling of 8086102000 in words is "eight billion, eighty-six million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 41 50 62 80 82 100 124 125 155 164 200 205 248 250 310 328 400 410 496 500 620 656 775 820 1000 1025 1240 1271 1550 1640 2000 2050 2480 2542 3100 3181 3280 3875 4100 5084 5125 6200 6355 6362 7750 8200 10168 10250 12400 12710 12724 15500 15905 16400 20336 20500 25420 25448 31000 31775 31810 41000 50840 50896 62000 63550 63620 79525 82000 98611 101680 127100 127240 130421 158875 159050 197222 254200 254480 260842 317750 318100 394444 397625 493055 508400 521684 635500 636200 652105 788888 795250 986110 1043368 1271000 1272400 1304210 1577776 1590500 1972220 2086736 2465275 2542000 2608420 3181000 3260525 3944440 4043051 4930550 5216840 6362000 6521050 7888880 8086102 9861100 10433680 12326375 13042100 16172204 16302625 19722200 20215255 24652750 26084200 32344408 32605250 39444400 40430510 49305500 52168400 64688816 65210500 80861020 98611000 101076275 130421000 161722040 197222000 202152550 260842000 323444080 404305100 505381375 808610200 1010762750 1617220400 2021525500 4043051000 8086102000