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1319985636864 = 2931983544937
BaseRepresentation
bin10011001101010101010…
…001100110011000000000
311200012010001211222221220
4103031111101212120000
5133111312310334424
62450220521115040
7164236321534266
oct23152521463000
94605101758856
101319985636864
11469891530a54
121939a4628a80
139762181357b
1447c5d9b2436
15245087a5579
hex13355466600

1319985636864 has 160 divisors (see below), whose sum is σ = 3746208977280. Its totient is φ = 411814674432.

The previous prime is 1319985636829. The next prime is 1319985636881. The reversal of 1319985636864 is 4686365899131.

It is a super-3 number, since 3×13199856368643 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149804 + ... + 2694740.

It is an arithmetic number, because the mean of its divisors is an integer number (23413806108).

Almost surely, 21319985636864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319985636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873104488640).

1319985636864 is an abundant number, since it is smaller than the sum of its proper divisors (2426223340416).

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

1319985636864 is an equidigital number, since it uses as much as digits as its factorization.

1319985636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545060 (or 545044 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 69.

The spelling of 1319985636864 in words is "one trillion, three hundred nineteen billion, nine hundred eighty-five million, six hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 192 228 249 256 304 332 384 456 498 512 608 664 768 912 996 1216 1328 1536 1577 1824 1992 2432 2656 3154 3648 3984 4731 4864 5312 6308 7296 7968 9462 9728 10624 12616 14592 15936 18924 21248 25232 29184 31872 37848 42496 50464 63744 75696 100928 127488 151392 201856 302784 403712 544937 605568 807424 1089874 1211136 1634811 2179748 2422272 3269622 4359496 6539244 8718992 10353803 13078488 17437984 20707606 26156976 31061409 34875968 41415212 45229771 52313952 62122818 69751936 82830424 90459542 104627904 124245636 135689313 139503872 165660848 180919084 209255808 248491272 271378626 279007744 331321696 361838168 418511616 496982544 542757252 662643392 723676336 837023232 859365649 993965088 1085514504 1325286784 1447352672 1718731298 1987930176 2171029008 2578096947 2650573568 2894705344 3437462596 3975860352 4342058016 5156193894 5301147136 5789410688 6874925192 7951720704 8684116032 10312387788 11578821376 13749850384 15903441408 17368232064 20624775576 23157642752 27499700768 34736464128 41249551152 54999401536 69472928256 82499102304 109998803072 164998204608 219997606144 329996409216 439995212288 659992818432 1319985636864