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663941245440 = 29351143193947
BaseRepresentation
bin10011010100101011111…
…10110110101000000000
32100110202012120212120210
421222111332312220000
541334222424323230
61225002125034120
765653040320134
oct11522576665000
92313665525523
10663941245440
112366375846a0
12a88146b5940
134a7bcaa6c95
14241c63553c4
151240d5dbeb0
hex9a95fb6a00

663941245440 has 640 divisors, whose sum is σ = 2384135119872. Its totient is φ = 156232581120.

The previous prime is 663941245439. The next prime is 663941245441. The reversal of 663941245440 is 44542149366.

It is an interprime number because it is at equal distance from previous prime (663941245439) and next prime (663941245441).

It is a tau number, because it is divible by the number of its divisors (640).

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 663941245440.

It is not an unprimeable number, because it can be changed into a prime (663941245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701099047 + ... + 701099993.

Almost surely, 2663941245440 is an apocalyptic number.

663941245440 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 663941245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192067559936).

663941245440 is an abundant number, since it is smaller than the sum of its proper divisors (1720193874432).

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

663941245440 is a wasteful number, since it uses less digits than its factorization.

663941245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 663941245440 in words is "six hundred sixty-three billion, nine hundred forty-one million, two hundred forty-five thousand, four hundred forty".