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64091793991680 = 2113357133118191
BaseRepresentation
bin11101001001010100010001…
…00111010010100000000000
322101221010010022200010222000
432210222020213102200000
531400034443230213210
6344151210320144000
716333323255126540
oct1644521047224000
9271833108603860
1064091793991680
11194701a4925314
127231504168000
13299baa4064520
1411b80b8d25320
15762294657ac0
hex3a4a889d2800

64091793991680 has 1536 divisors, whose sum is σ = 281337554534400. Its totient is φ = 13477537382400.

The previous prime is 64091793991637. The next prime is 64091793991681. The reversal of 64091793991680 is 8619939719046.

It is a happy number.

64091793991680 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 1 + 79 + 399 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64091793991599 and 64091793991608.

It is not an unprimeable number, because it can be changed into a prime (64091793991681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7824656385 + ... + 7824664575.

It is an arithmetic number, because the mean of its divisors is an integer number (183162470400).

Almost surely, 264091793991680 is an apocalyptic number.

64091793991680 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 64091793991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140668777267200).

64091793991680 is an abundant number, since it is smaller than the sum of its proper divisors (217245760542720).

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

64091793991680 is a wasteful number, since it uses less digits than its factorization.

64091793991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 64091793991680 in words is "sixty-four trillion, ninety-one billion, seven hundred ninety-three million, nine hundred ninety-one thousand, six hundred eighty".