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2066466100 = 2252149331419
BaseRepresentation
bin111101100101011…
…1100010100110100
312100000102100120111
41323022330110310
513213003403400
6541015312404
7102131446336
oct17312742464
95300370514
102066466100
11970514626
1249807b704
1326c17950a
1415863b456
15c16413ba
hex7b2bc534

2066466100 has 72 divisors (see below), whose sum is σ = 4538772000. Its totient is φ = 816604800.

The previous prime is 2066466089. The next prime is 2066466173. The reversal of 2066466100 is 16646602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4931691 + ... + 4932109.

It is an arithmetic number, because the mean of its divisors is an integer number (63038500).

Almost surely, 22066466100 is an apocalyptic number.

2066466100 is a gapful number since it is divisible by the number (20) 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 2066466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269386000).

2066466100 is an abundant number, since it is smaller than the sum of its proper divisors (2472305900).

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

2066466100 is a wasteful number, since it uses less digits than its factorization.

2066466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2066466100 is about 45458.3996638685. The cubic root of 2066466100 is about 1273.7262378303.

The spelling of 2066466100 in words is "two billion, sixty-six million, four hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 331 419 596 662 745 838 1324 1490 1655 1676 2095 2980 3310 3725 4190 6620 7450 8275 8380 10475 14900 16550 20950 33100 41900 49319 62431 98638 124862 138689 197276 246595 249724 277378 312155 493190 554756 624310 693445 986380 1232975 1248620 1386890 1560775 2465950 2773780 3121550 3467225 4931900 6243100 6934450 13868900 20664661 41329322 82658644 103323305 206646610 413293220 516616525 1033233050 2066466100