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64438841088 = 283617191069
BaseRepresentation
bin111100000000110110…
…101010111100000000
320011022212001022000000
4330000312222330000
52023432320403323
645334112000000
74440566053236
oct740066527400
9204285038000
1064438841088
1125368056076
12105a4530000
1360cc26c38b
1431941dc956
151a222aee43
hexf00daaf00

64438841088 has 504 divisors, whose sum is σ = 215143059600. Its totient is φ = 19134185472.

The previous prime is 64438840981. The next prime is 64438841111. The reversal of 64438841088 is 88014883446.

64438841088 is a `hidden beast` number, since 6 + 443 + 88 + 41 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60279018 + ... + 60280086.

It is an arithmetic number, because the mean of its divisors is an integer number (426871150).

Almost surely, 264438841088 is an apocalyptic number.

64438841088 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 64438841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571529800).

64438841088 is an abundant number, since it is smaller than the sum of its proper divisors (150704218512).

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

64438841088 is a wasteful number, since it uses less digits than its factorization.

64438841088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 64438841088 in words is "sixty-four billion, four hundred thirty-eight million, eight hundred forty-one thousand, eighty-eight".