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713069330448384 = 214367133072137
BaseRepresentation
bin1010001000100010000110010…
…0001001000100000000000000
310110111202202120200011221000000
42202020201210021010000000
51221430411442043322014
611004323310024000000
7303124362514326210
oct24210414411040000
93414682520157000
10713069330448384
1119722a0063a4938
1267b85744000000
13247b61c3117320
14c812a4dbcc240
155768882a79509
hex2888864244000

713069330448384 has 1680 divisors, whose sum is σ = 2641394584732288. Its totient is φ = 187361944141824.

The previous prime is 713069330448353. The next prime is 713069330448389. The reversal of 713069330448384 is 483844033960317.

It is a happy number.

713069330448384 is a `hidden beast` number, since 7 + 1 + 30 + 6 + 93 + 30 + 4 + 483 + 8 + 4 = 666.

It is a super-2 number, since 2×7130693304483842 (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (713069330448389) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 333677738964 + ... + 333677741100.

Almost surely, 2713069330448384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713069330448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320697292366144).

713069330448384 is an abundant number, since it is smaller than the sum of its proper divisors (1928325254283904).

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

713069330448384 is an equidigital number, since it uses as much as digits as its factorization.

713069330448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 713069330448384 in words is "seven hundred thirteen trillion, sixty-nine billion, three hundred thirty million, four hundred forty-eight thousand, three hundred eighty-four".