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380370071564 = 22717113262581
BaseRepresentation
bin1011000100011111101…
…00101011000000001100
31100100210122101200111022
411202033310223000030
522212444214242224
6450423430413312
736323632155650
oct5421764530014
91310718350438
10380370071564
1113734aa9764a
1261875201238
1329b3a826782
14145a50d0a60
159d633cd65e
hex588fd2b00c

380370071564 has 72 divisors (see below), whose sum is σ = 812693857248. Its totient is φ = 152066396160.

The previous prime is 380370071563. The next prime is 380370071591. The reversal of 380370071564 is 465170073083.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (380370071563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6046754 + ... + 6109334.

It is an arithmetic number, because the mean of its divisors is an integer number (11287414684).

Almost surely, 2380370071564 is an apocalyptic number.

380370071564 is a gapful number since it is divisible by the number (34) 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 380370071564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406346928624).

380370071564 is an abundant number, since it is smaller than the sum of its proper divisors (432323785684).

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

380370071564 is a wasteful number, since it uses less digits than its factorization.

380370071564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62835 (or 62720 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 380370071564 in words is "three hundred eighty billion, three hundred seventy million, seventy-one thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 113 119 226 238 452 476 791 1582 1921 3164 3842 7684 12769 13447 25538 26894 51076 53788 62581 89383 125162 178766 217073 250324 357532 434146 438067 868292 876134 1063877 1519511 1752268 2127754 3039022 4255508 6078044 7071653 7447139 14143306 14894278 28286612 29788556 49501571 99003142 120218101 198006284 240436202 480872404 799096789 841526707 1598193578 1683053414 3196387156 3366106828 5593677523 11187355046 13584645413 22374710092 27169290826 54338581652 95092517891 190185035782 380370071564