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5666516100 = 2232527899447
BaseRepresentation
bin1010100011100000…
…00010110010000100
3112121220112211202200
411101300002302010
543101112003400
62334141034500
7260264410050
oct52160026204
915556484680
105666516100
112448667463
121121855a30
136c3c7630b
143ba800c60
15232712b00
hex151c02c84

5666516100 has 108 divisors (see below), whose sum is σ = 20298742464. Its totient is φ = 1295202240.

The previous prime is 5666516087. The next prime is 5666516101. The reversal of 5666516100 is 16156665.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5666516101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443424 + ... + 456023.

Almost surely, 25666516100 is an apocalyptic number.

5666516100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5666516100 is an abundant number, since it is smaller than the sum of its proper divisors (14632226364).

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

5666516100 is a wasteful number, since it uses less digits than its factorization.

5666516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899474 (or 899464 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5666516100 is about 75276.2651836553. The cubic root of 5666516100 is about 1782.8112900185.

The spelling of 5666516100 in words is "five billion, six hundred sixty-six million, five hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 899447 1798894 2698341 3597788 4497235 5396682 6296129 8095023 8994470 10793364 12592258 13491705 16190046 17988940 18888387 22486175 25184516 26983410 31480645 32380092 37776774 40475115 44972350 53966820 56665161 62961290 67458525 75553548 80950230 89944700 94441935 113330322 125922580 134917050 157403225 161900460 188883870 202375575 226660644 269834100 283325805 314806450 377767740 404751150 472209675 566651610 629612900 809502300 944419350 1133303220 1416629025 1888838700 2833258050 5666516100