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66150068800 = 265289464537
BaseRepresentation
bin111101100110110110…
…011111001001000000
320022202010000200010011
4331212312133021000
52040433404200200
650220001314304
74531155210304
oct754666371100
9208663020104
1066150068800
1126065a97852
12109a1635994
13631294a25a
1432b75a7d04
151ac26305ba
hexf66d9f240

66150068800 has 84 divisors (see below), whose sum is σ = 164599749540. Its totient is φ = 26162667520.

The previous prime is 66150068791. The next prime is 66150068819. The reversal of 66150068800 is 886005166.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19921628736 + 46228440064 = 141144^2 + 215008^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89869 + ... + 374668.

Almost surely, 266150068800 is an apocalyptic number.

It is an amenable number.

66150068800 is an abundant number, since it is smaller than the sum of its proper divisors (98449680740).

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

66150068800 is a wasteful number, since it uses less digits than its factorization.

66150068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464648 (or 464633 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 66150068800 in words is "sixty-six billion, one hundred fifty million, sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 160 178 200 320 356 400 445 712 800 890 1424 1600 1780 2225 2848 3560 4450 5696 7120 8900 14240 17800 28480 35600 71200 142400 464537 929074 1858148 2322685 3716296 4645370 7432592 9290740 11613425 14865184 18581480 23226850 29730368 37162960 41343793 46453700 74325920 82687586 92907400 148651840 165375172 185814800 206718965 330750344 371629600 413437930 661500688 743259200 826875860 1033594825 1323001376 1653751720 2067189650 2646002752 3307503440 4134379300 6615006880 8268758600 13230013760 16537517200 33075034400 66150068800