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380273255568 = 243219405734259
BaseRepresentation
bin1011000100010100000…
…11010110010010010000
31100100112220012220220200
411202022003112102100
522212244423134233
6450410051335200
736321345224403
oct5421203262220
91310486186820
10380273255568
11137300380328
12618488b1500
1329b237592bb
14145962cbd3a
159d59b57313
hex588a0d6490

380273255568 has 120 divisors (see below), whose sum is σ = 1120558264800. Its totient is φ = 120053187072.

The previous prime is 380273255539. The next prime is 380273255633. The reversal of 380273255568 is 865552372083.

380273255568 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 73 + 2 + 5 + 5 + 568 = 666.

It is a Cunningham number, because it is equal to 6166632-1.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11082823 + ... + 11117081.

It is an arithmetic number, because the mean of its divisors is an integer number (9337985540).

Almost surely, 2380273255568 is an apocalyptic number.

380273255568 is a gapful number since it is divisible by the number (38) 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 380273255568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560279132400).

380273255568 is an abundant number, since it is smaller than the sum of its proper divisors (740285009232).

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

380273255568 is a wasteful number, since it uses less digits than its factorization.

380273255568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38349 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 380273255568 in words is "three hundred eighty billion, two hundred seventy-three million, two hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4057 8114 12171 16228 24342 32456 34259 36513 48684 64912 68518 73026 77083 97368 102777 137036 146052 154166 194736 205554 231249 274072 292104 308331 308332 411108 462498 548144 584208 616662 616664 650921 693747 822216 924996 1233324 1233328 1301842 1387494 1644432 1849992 1952763 2466648 2603684 2774988 3699984 3905526 4933296 5207368 5549976 5858289 7811052 10414736 11099952 11716578 15622104 23433156 31244208 46866312 93732624 138988763 277977526 416966289 555955052 833932578 1111910104 1250898867 1667865156 2223820208 2501797734 2640786497 3335730312 5003595468 5281572994 6671460624 7922359491 10007190936 10563145988 15844718982 20014381872 21126291976 23767078473 31689437964 42252583952 47534156946 63378875928 95068313892 126757751856 190136627784 380273255568