Search a number
-
+
64819339488 = 2532953236167
BaseRepresentation
bin111100010111100010…
…001010000011100000
320012022101000121200100
4330113202022003200
52030222222330423
645435543222400
74453166203101
oct742742120340
9205271017610
1064819339488
1125542911162
121068ba47a00
136160043367
1431cc9683a8
151a458c0343
hexf1788a0e0

64819339488 has 72 divisors (see below), whose sum is σ = 184524198768. Its totient is φ = 21583683072.

The previous prime is 64819339463. The next prime is 64819339489. The reversal of 64819339488 is 88493391846.

64819339488 is a `hidden beast` number, since 6 + 4 + 81 + 93 + 394 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×648193394882 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64819339489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156381 + ... + 392547.

It is an arithmetic number, because the mean of its divisors is an integer number (2562836094).

Almost surely, 264819339488 is an apocalyptic number.

It is an amenable number.

64819339488 is an abundant number, since it is smaller than the sum of its proper divisors (119704859280).

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

64819339488 is a wasteful number, since it uses less digits than its factorization.

64819339488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237136 (or 237125 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 64819339488 in words is "sixty-four billion, eight hundred nineteen million, three hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 953 1906 2859 3812 5718 7624 8577 11436 15248 17154 22872 30496 34308 45744 68616 91488 137232 236167 274464 472334 708501 944668 1417002 1889336 2125503 2834004 3778672 4251006 5668008 7557344 8502012 11336016 17004024 22672032 34008048 68016096 225067151 450134302 675201453 900268604 1350402906 1800537208 2025604359 2700805812 3601074416 4051208718 5401611624 7202148832 8102417436 10803223248 16204834872 21606446496 32409669744 64819339488