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380870273880 = 233352933136739
BaseRepresentation
bin1011000101011011010…
…00110010101101011000
31100102002111121121002000
411202231220302231120
522220010242231010
6450545215441000
736342214624515
oct5425550625530
91312074547060
10380870273880
11137587381a98
1261994826160
1329bba34c985
14146116da30c
159d922867c0
hex58ada32b58

380870273880 has 256 divisors, whose sum is σ = 1317349440000. Its totient is φ = 97764226560.

The previous prime is 380870273857. The next prime is 380870273881. The reversal of 380870273880 is 88372078083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380870273881) 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, 10348551 + ... + 10385289.

It is an arithmetic number, because the mean of its divisors is an integer number (5145896250).

Almost surely, 2380870273880 is an apocalyptic number.

380870273880 is a gapful number since it is divisible by the number (30) 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 380870273880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658674720000).

380870273880 is an abundant number, since it is smaller than the sum of its proper divisors (936479166120).

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

380870273880 is a wasteful number, since it uses less digits than its factorization.

380870273880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37119 (or 37109 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 380870273880 in words is "three hundred eighty billion, eight hundred seventy million, two hundred seventy-three thousand, eight hundred eighty".