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64248824640 = 263571113237139
BaseRepresentation
bin111011110101100001…
…110100001101000000
320010211121111110102210
4323311201310031000
52023040144342030
645303203142120
74433100666360
oct736541641500
9203747443383
1064248824640
112527a871990
1210550974940
13609ba9c300
143176c989a0
151a10778bb0
hexef5874340

64248824640 has 1344 divisors, whose sum is σ = 284871444480. Its totient is φ = 11904122880.

The previous prime is 64248824621. The next prime is 64248824641. The reversal of 64248824640 is 4642884246.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×642488246402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64248824640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64248824641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 462221691 + ... + 462221829.

It is an arithmetic number, because the mean of its divisors is an integer number (211957920).

Almost surely, 264248824640 is an apocalyptic number.

64248824640 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 64248824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142435722240).

64248824640 is an abundant number, since it is smaller than the sum of its proper divisors (220622619840).

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

64248824640 is a wasteful number, since it uses less digits than its factorization.

64248824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

It can be divided in two parts, 64248 and 824640, that added together give a palindrome (888888).

The spelling of 64248824640 in words is "sixty-four billion, two hundred forty-eight million, eight hundred twenty-four thousand, six hundred forty".