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66372230100 = 223521167300191
BaseRepresentation
bin111101110100000101…
…111101101111010100
320100022121001122010110
4331310011331233110
52041412242330400
650254015123020
74536523435011
oct756405755724
9210277048113
1066372230100
112616a436930
1210a43b13470
136349993647
1432d8cb8708
151ad6db5e50
hexf7417dbd4

66372230100 has 144 divisors (see below), whose sum is σ = 212622391296. Its totient is φ = 15850032000.

The previous prime is 66372230047. The next prime is 66372230131. The reversal of 66372230100 is 103227366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71005 + ... + 371195.

It is an arithmetic number, because the mean of its divisors is an integer number (1476544384).

Almost surely, 266372230100 is an apocalyptic number.

66372230100 is a gapful number since it is divisible by the number (60) 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 66372230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106311195648).

66372230100 is an abundant number, since it is smaller than the sum of its proper divisors (146250161196).

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

66372230100 is a wasteful number, since it uses less digits than its factorization.

66372230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300286 (or 300279 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 66372230100 its reverse (103227366), we get a palindrome (66475457466).

The spelling of 66372230100 in words is "sixty-six billion, three hundred seventy-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 1005 1100 1340 1474 1650 1675 2010 2211 2948 3300 3350 3685 4020 4422 5025 6700 7370 8844 10050 11055 14740 18425 20100 22110 36850 44220 55275 73700 110550 221100 300191 600382 900573 1200764 1500955 1801146 3001910 3302101 3602292 4502865 6003820 6604202 7504775 9005730 9906303 13208404 15009550 16510505 18011460 19812606 20112797 22514325 30019100 33021010 39625212 40225594 45028650 49531515 60338391 66042020 80451188 82552525 90057300 99063030 100563985 120676782 165105050 198126060 201127970 221240767 241353564 247657575 301691955 330210100 402255940 442481534 495315150 502819925 603383910 663722301 884963068 990630300 1005639850 1106203835 1206767820 1327444602 1508459775 2011279700 2212407670 2654889204 3016919550 3318611505 4424815340 5531019175 6033839100 6637223010 11062038350 13274446020 16593057525 22124076700 33186115050 66372230100