Search a number
-
+
66149028992 = 2712721792
BaseRepresentation
bin111101100110110010…
…100001010010000000
320022202001001211202202
4331212302201102000
52040433122411432
650215523132332
74531143316634
oct754662412200
9208661054682
1066149028992
1126065447602
12109a12140a8
136312674b97
1432b73b6dc4
151ac24c7462
hexf66ca1480

66149028992 has 72 divisors (see below), whose sum is σ = 133573283235. Its totient is φ = 32630766336.

The previous prime is 66149028983. The next prime is 66149029061. The reversal of 66149028992 is 29982094166.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 33074514496 + 33074514496 = 181864^2 + 181864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=181864.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369547559 + ... + 369547737.

Almost surely, 266149028992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66149028992

66149028992 is an abundant number, since it is smaller than the sum of its proper divisors (67424254243).

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

66149028992 is an frugal number, since it uses more digits than its factorization.

66149028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 66149028992 in words is "sixty-six billion, one hundred forty-nine million, twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 127 128 179 254 358 508 716 1016 1432 2032 2864 4064 5728 8128 11456 16129 16256 22733 22912 32041 32258 45466 64082 64516 90932 128164 129032 181864 256328 258064 363728 512656 516128 727456 1025312 1032256 1454912 2050624 2064512 2887091 2909824 4069207 4101248 5774182 8138414 11548364 16276828 23096728 32553656 46193456 65107312 92386912 130214624 184773824 260429248 369547648 516789289 520858496 1033578578 2067157156 4134314312 8268628624 16537257248 33074514496 66149028992