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66226662400 = 210522586979
BaseRepresentation
bin111101101011011010…
…101010110000000000
320022221110011000210011
4331223122222300000
52041113011144100
650231335114304
74533105225253
oct755332526000
9208843130704
1066226662400
11260a5251748
1210a03212994
136325787002
1432c382509a
151ac920ebba
hexf6b6aac00

66226662400 has 66 divisors (see below), whose sum is σ = 164161989860. Its totient is φ = 26490654720.

The previous prime is 66226662373. The next prime is 66226662401. The reversal of 66226662400 is 426662266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (66226662401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1267890 + ... + 1319089.

Almost surely, 266226662400 is an apocalyptic number.

It is an amenable number.

66226662400 is an abundant number, since it is smaller than the sum of its proper divisors (97935327460).

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

66226662400 is a wasteful number, since it uses less digits than its factorization.

66226662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587009 (or 2586986 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 66226662400 in words is "sixty-six billion, two hundred twenty-six million, six hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 2586979 5173958 10347916 12934895 20695832 25869790 41391664 51739580 64674475 82783328 103479160 129348950 165566656 206958320 258697900 331133312 413916640 517395800 662266624 827833280 1034791600 1324533248 1655666560 2069583200 2649066496 3311333120 4139166400 6622666240 8278332800 13245332480 16556665600 33113331200 66226662400