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1082464768640 = 2752516738451
BaseRepresentation
bin11111100000001111110…
…11011001001010000000
310211111000211102201102102
433300013323121022000
5120213341440044030
62145135532405532
7141130325502023
oct17600773311200
93744024381372
101082464768640
11388086162152
121559573168a8
137b0cac45928
143a56a6a11ba
151d256301c45
hexfc07ed9280

1082464768640 has 64 divisors (see below), whose sum is σ = 2598077553120. Its totient is φ = 431260800000.

The previous prime is 1082464768621. The next prime is 1082464768663. The reversal of 1082464768640 is 468674642801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 3208586 + ... + 3529865.

Almost surely, 21082464768640 is an apocalyptic number.

1082464768640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082464768640 is an abundant number, since it is smaller than the sum of its proper divisors (1515612784480).

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

1082464768640 is an equidigital number, since it uses as much as digits as its factorization.

1082464768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738721 (or 6738709 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 1082464768640 in words is "one trillion, eighty-two billion, four hundred sixty-four million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 320 502 640 1004 1255 2008 2510 4016 5020 8032 10040 16064 20080 32128 40160 80320 160640 6738451 13476902 26953804 33692255 53907608 67384510 107815216 134769020 215630432 269538040 431260864 539076080 862521728 1078152160 1691351201 2156304320 3382702402 4312608640 6765404804 8456756005 13530809608 16913512010 27061619216 33827024020 54123238432 67654048040 108246476864 135308096080 216492953728 270616192160 541232384320 1082464768640