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368380079712 = 25331922440307
BaseRepresentation
bin1010101110001010010…
…10011110111001100000
31022012212001002222202000
411113011022132321200
522013420300022322
6441121555324000
735420542004331
oct5270512367140
91265761088660
10368380079712
11132257a51277
125b4898b0600
1328979787438
1413b8895a288
1598b09883ac
hex55c529ee60

368380079712 has 96 divisors (see below), whose sum is σ = 1130991523200. Its totient is φ = 116330546304.

The previous prime is 368380079659. The next prime is 368380079729. The reversal of 368380079712 is 217970083863.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11203738 + ... + 11236569.

It is an arithmetic number, because the mean of its divisors is an integer number (11781161700).

Almost surely, 2368380079712 is an apocalyptic number.

368380079712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

368380079712 is an abundant number, since it is smaller than the sum of its proper divisors (762611443488).

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

368380079712 is a wasteful number, since it uses less digits than its factorization.

368380079712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22440345 (or 22440331 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 368380079712 in words is "three hundred sixty-eight billion, three hundred eighty million, seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 22440307 44880614 67320921 89761228 134641842 179522456 201962763 269283684 359044912 403925526 426365833 538567368 605888289 718089824 807851052 852731666 1077134736 1211776578 1279097499 1615702104 1705463332 2154269472 2423553156 2558194998 3231404208 3410926664 3837292497 4847106312 5116389996 6462808416 6821853328 7674584994 9694212624 10232779992 11511877491 13643706656 15349169988 19388425248 20465559984 23023754982 30698339976 40931119968 46047509964 61396679952 92095019928 122793359904 184190039856 368380079712