Search a number
-
+
10166550000 = 2435567777
BaseRepresentation
bin10010111011111100…
…10011110111110000
3222020112011020202220
421131332103313300
5131310114100000
64400452241040
7506636151315
oct113576236760
928215136686
1010166550000
114347830542
121b78910180
13c60362379
146c6318d0c
153e780b1a0
hex25df93df0

10166550000 has 120 divisors (see below), whose sum is σ = 32827867632. Its totient is φ = 2711040000.

The previous prime is 10166549989. The next prime is 10166550029. The reversal of 10166550000 is 5566101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116112 + ... + 183888.

Almost surely, 210166550000 is an apocalyptic number.

10166550000 is a gapful number since it is divisible by the number (10) 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 10166550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413933816).

10166550000 is an abundant number, since it is smaller than the sum of its proper divisors (22661317632).

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

10166550000 is an frugal number, since it uses more digits than its factorization.

10166550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67813 (or 67787 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10166550000 in words is "ten billion, one hundred sixty-six million, five hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 67777 75000 135554 150000 203331 271108 338885 406662 542216 677770 813324 1016655 1084432 1355540 1626648 1694425 2033310 2711080 3253296 3388850 4066620 5083275 5422160 6777700 8133240 8472125 10166550 13555400 16266480 16944250 20333100 25416375 27110800 33888500 40666200 42360625 50832750 67777000 81332400 84721250 101665500 127081875 135554000 169442500 203331000 211803125 254163750 338885000 406662000 423606250 508327500 635409375 677770000 847212500 1016655000 1270818750 1694425000 2033310000 2541637500 3388850000 5083275000 10166550000