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1354071755616 = 253292621185569
BaseRepresentation
bin10011101101000100111…
…101110100101101100000
311210110002120220020111120
4103231010331310231200
5134141114332134431
62514015121012240
7166554106005636
oct23550475645540
94713076806446
101354071755616
11482293229528
1219a517a84080
139a8c45c04c8
144977498b356
1525350eb6196
hex13b44f74b60

1354071755616 has 96 divisors (see below), whose sum is σ = 3678427922400. Its totient is φ = 435624591360.

The previous prime is 1354071755599. The next prime is 1354071755629. The reversal of 1354071755616 is 6165571704531.

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

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, 7204080 + ... + 7389648.

It is an arithmetic number, because the mean of its divisors is an integer number (38316957525).

Almost surely, 21354071755616 is an apocalyptic number.

1354071755616 is a gapful number since it is divisible by the number (16) 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 1354071755616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839213961200).

1354071755616 is an abundant number, since it is smaller than the sum of its proper divisors (2324356166784).

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

1354071755616 is a wasteful number, since it uses less digits than its factorization.

1354071755616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188232 (or 188224 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 1354071755616 in words is "one trillion, three hundred fifty-four billion, seventy-one million, seven hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2621 2784 5242 7863 10484 15726 20968 31452 41936 62904 76009 83872 125808 152018 185569 228027 251616 304036 371138 456054 556707 608072 742276 912108 1113414 1216144 1484552 1824216 2226828 2432288 2969104 3648432 4453656 5381501 5938208 7296864 8907312 10763002 16144503 17814624 21526004 32289006 43052008 64578012 86104016 129156024 172208032 258312048 486376349 516624096 972752698 1459129047 1945505396 2918258094 3891010792 5836516188 7782021584 11673032376 14104914121 15564043168 23346064752 28209828242 42314742363 46692129504 56419656484 84629484726 112839312968 169258969452 225678625936 338517938904 451357251872 677035877808 1354071755616