Search a number
-
+
64997237760 = 210357313273
BaseRepresentation
bin111100100010001000…
…110010010000000000
320012202202202210020020
4330202020302100000
52031103243102020
645505340213440
74460456256000
oct744210622000
9205682683206
1064997237760
1125624278824
121071b53a280
13618ab5c700
143208436000
151a56310c40
hexf22232400

64997237760 has 1056 divisors, whose sum is σ = 266116550400. Its totient is φ = 13525843968.

The previous prime is 64997237743. The next prime is 64997237771. The reversal of 64997237760 is 6773279946.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 64997237694 and 64997237703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890373084 + ... + 890373156.

Almost surely, 264997237760 is an apocalyptic number.

64997237760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64997237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133058275200).

64997237760 is an abundant number, since it is smaller than the sum of its proper divisors (201119312640).

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

64997237760 is a wasteful number, since it uses less digits than its factorization.

64997237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 60.

The spelling of 64997237760 in words is "sixty-four billion, nine hundred ninety-seven million, two hundred thirty-seven thousand, seven hundred sixty".