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1019915689344 = 27339710936121
BaseRepresentation
bin11101101011101111011…
…01100101110110000000
310121111120200022021020220
432311313231211312000
5113202241404024334
62100313124503040
7133454314214166
oct16656755456600
93544520267226
101019915689344
113635a88aa092
121457bb84aa80
1375240363cc6
1437515463236
151b7e4dcb449
hexed77b65d80

1019915689344 has 128 divisors (see below), whose sum is σ = 2718904109280. Its totient is φ = 338749931520.

The previous prime is 1019915689301. The next prime is 1019915689363. The reversal of 1019915689344 is 4439865199101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166622604 + ... + 166628724.

Almost surely, 21019915689344 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 1019915689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359452054640).

1019915689344 is an abundant number, since it is smaller than the sum of its proper divisors (1698988419936).

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

1019915689344 is a wasteful number, since it uses less digits than its factorization.

1019915689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 1019915689344 in words is "one trillion, nineteen billion, nine hundred fifteen million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397 794 1093 1191 1588 2186 2382 3176 3279 4372 4764 6121 6352 6558 8744 9528 12242 12704 13116 17488 18363 19056 24484 25408 26232 34976 36726 38112 48968 50816 52464 69952 73452 76224 97936 104928 139904 146904 152448 195872 209856 293808 391744 419712 433921 587616 783488 867842 1175232 1301763 1735684 2350464 2430037 2603526 3471368 4860074 5207052 6690253 6942736 7290111 9720148 10414104 13380506 13885472 14580222 19440296 20070759 20828208 26761012 27770944 29160444 38880592 40141518 41656416 53522024 55541888 58320888 77761184 80283036 83312832 107044048 116641776 155522368 160566072 166625664 214088096 233283552 311044736 321132144 428176192 466567104 642264288 856352384 933134208 1284528576 2569057152 2656030441 5312060882 7968091323 10624121764 15936182646 21248243528 31872365292 42496487056 63744730584 84992974112 127489461168 169985948224 254978922336 339971896448 509957844672 1019915689344