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64837220448 = 253711132174371
BaseRepresentation
bin111100011000100110…
…010111100001100000
320012100121200001202010
4330120212113201200
52030241312023243
645441422352520
74453504165140
oct743046274140
9205317601663
1064837220448
1125551a14410
1210695a2b740
136163964100
1431d10a0920
151a47253433
hexf18997860

64837220448 has 1152 divisors, whose sum is σ = 252453003264. Its totient is φ = 14089420800.

The previous prime is 64837220407. The next prime is 64837220477. The reversal of 64837220448 is 84402273846.

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

It is a junction number, because it is equal to n+sod(n) for n = 64837220397 and 64837220406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 913200253 + ... + 913200323.

It is an arithmetic number, because the mean of its divisors is an integer number (219143232).

Almost surely, 264837220448 is an apocalyptic number.

64837220448 is a gapful number since it is divisible by the number (68) 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 64837220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126226501632).

64837220448 is an abundant number, since it is smaller than the sum of its proper divisors (187615782816).

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

64837220448 is a wasteful number, since it uses less digits than its factorization.

64837220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 64837220448 in words is "sixty-four billion, eight hundred thirty-seven million, two hundred twenty thousand, four hundred forty-eight".