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665384848128 = 283371113175657
BaseRepresentation
bin10011010111011000000…
…01110000101100000000
32100121110210222111012000
421223230001300230000
541400202010120003
61225401254304000
766033566614260
oct11535401605400
92317423874160
10665384848128
11237208444770
12a8b58058000
134a98cbb1060
14242c1d777a0
15124951e61a3
hex9aec070b00

665384848128 has 1152 divisors, whose sum is σ = 2797793187840. Its totient is φ = 150122004480.

The previous prime is 665384848099. The next prime is 665384848153. The reversal of 665384848128 is 821848483566.

665384848128 is a `hidden beast` number, since 6 + 6 + 53 + 8 + 484 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6653848481282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117618676 + ... + 117624332.

It is an arithmetic number, because the mean of its divisors is an integer number (2428639920).

Almost surely, 2665384848128 is an apocalyptic number.

665384848128 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 665384848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398896593920).

665384848128 is an abundant number, since it is smaller than the sum of its proper divisors (2132408339712).

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

665384848128 is a wasteful number, since it uses less digits than its factorization.

665384848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5710 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 665384848128 in words is "six hundred sixty-five billion, three hundred eighty-four million, eight hundred forty-eight thousand, one hundred twenty-eight".