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64460989440 = 2103256720879
BaseRepresentation
bin111100000010001011…
…001010010000000000
320011101101201112211100
4330002023022100000
52024004003130230
645340222414400
74441255240551
oct740213122000
9204341645740
1064460989440
11253796034a1
12105aba31400
136103a25603
143197126328
151a241d7660
hexf022ca400

64460989440 has 264 divisors, whose sum is σ = 226700173440. Its totient is φ = 16932225024.

The previous prime is 64460989433. The next prime is 64460989457. The reversal of 64460989440 is 4498906446.

It is a happy number.

64460989440 is a `hidden beast` number, since 6 + 4 + 460 + 98 + 94 + 4 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3076921 + ... + 3097799.

Almost surely, 264460989440 is an apocalyptic number.

64460989440 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 64460989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113350086720).

64460989440 is an abundant number, since it is smaller than the sum of its proper divisors (162239184000).

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

64460989440 is a wasteful number, since it uses less digits than its factorization.

64460989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20977 (or 20956 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 64460989440 in words is "sixty-four billion, four hundred sixty million, nine hundred eighty-nine thousand, four hundred forty".