Search a number
-
+
66532346144 = 2511223847589
BaseRepresentation
bin111101111101101000…
…110000100100100000
320100201202100101001022
4331331220300210200
52042224240034034
650321535025012
74543506416435
oct757550604440
9210652311038
1066532346144
1126241858440
1210a8966b168
136373bc4b74
143312277b8c
151ae5e92b2e
hexf7da30920

66532346144 has 48 divisors (see below), whose sum is σ = 143534280960. Its totient is φ = 30106325760.

The previous prime is 66532346093. The next prime is 66532346161. The reversal of 66532346144 is 44164323566.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 66532346095 and 66532346104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 345299 + ... + 502290.

It is an arithmetic number, because the mean of its divisors is an integer number (2990297520).

Almost surely, 266532346144 is an apocalyptic number.

It is an amenable number.

66532346144 is an abundant number, since it is smaller than the sum of its proper divisors (77001934816).

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

66532346144 is a wasteful number, since it uses less digits than its factorization.

66532346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847833 (or 847825 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 66532346144 in words is "sixty-six billion, five hundred thirty-two million, three hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 223 352 446 892 1784 2453 3568 4906 7136 9812 19624 39248 78496 847589 1695178 3390356 6780712 9323479 13561424 18646958 27122848 37293916 74587832 149175664 189012347 298351328 378024694 756049388 1512098776 2079135817 3024197552 4158271634 6048395104 8316543268 16633086536 33266173072 66532346144