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42672636600 = 23352116465551
BaseRepresentation
bin100111101111011111…
…001100001010111000
311002010221002112200020
4213233133030022320
51144343143332400
631334210410440
73040316266146
oct475737141270
9132127075606
1042672636600
1117108655520
12832ab90a20
1340409a8139
1420cb51a596
15119b4642a0
hex9ef7cc2b8

42672636600 has 96 divisors (see below), whose sum is σ = 144311120640. Its totient is φ = 10344880000.

The previous prime is 42672636551. The next prime is 42672636607. The reversal of 42672636600 is 663627624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42672636607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226176 + ... + 3239375.

It is an arithmetic number, because the mean of its divisors is an integer number (1503240840).

Almost surely, 242672636600 is an apocalyptic number.

42672636600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42672636600 is an abundant number, since it is smaller than the sum of its proper divisors (101638484040).

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

42672636600 is a wasteful number, since it uses less digits than its factorization.

42672636600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465581 (or 6465572 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 42672636600 in words is "forty-two billion, six hundred seventy-two million, six hundred thirty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 6465551 12931102 19396653 25862204 32327755 38793306 51724408 64655510 71121061 77586612 96983265 129311020 142242122 155173224 161638775 193966530 213363183 258622040 284484244 323277550 355605305 387933060 426726366 484916325 568968488 646555100 711210610 775866120 853452732 969832650 1066815915 1293110200 1422421220 1706905464 1778026525 1939665300 2133631830 2844842440 3556053050 3879330600 4267263660 5334079575 7112106100 8534527320 10668159150 14224212200 21336318300 42672636600