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2988113810368 = 26531938535351
BaseRepresentation
bin101011011110111001011…
…101100101001111000000
3101120122211210022021120111
4223132321131211033000
5342424124113412433
610204415345121104
7425612150212021
oct53367135451700
911518753267514
102988113810368
11a52285389565
12403149329194
13188a16135bbb
14a48a8462c48
1552adaea4dcd
hex2b7b97653c0

2988113810368 has 112 divisors (see below), whose sum is σ = 6080974554816. Its totient is φ = 1456290201600.

The previous prime is 2988113810359. The next prime is 2988113810369. The reversal of 2988113810368 is 8630183118892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988113810369) by changing a digit.

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, 558418893 + ... + 558424243.

It is an arithmetic number, because the mean of its divisors is an integer number (54294415668).

Almost surely, 22988113810368 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 2988113810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040487277408).

2988113810368 is an abundant number, since it is smaller than the sum of its proper divisors (3092860744448).

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

2988113810368 is a wasteful number, since it uses less digits than its factorization.

2988113810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 2988113810368 in words is "two trillion, nine hundred eighty-eight billion, one hundred thirteen million, eight hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 193 212 386 424 772 848 853 1544 1696 1706 3088 3392 3412 5351 6176 6824 10229 10702 12352 13648 20458 21404 27296 40916 42808 45209 54592 81832 85616 90418 163664 164629 171232 180836 283603 327328 329258 342464 361672 567206 654656 658516 723344 1032743 1134412 1317032 1446688 2065486 2268824 2634064 2893376 4130972 4537648 4564403 5268128 8261944 8725337 9075296 9128806 10536256 16523888 17450674 18150592 18257612 33047776 34901348 36515224 54735379 66095552 69802696 73030448 109470758 139605392 146060896 218941516 241913359 279210784 292121792 437883032 483826718 558421568 875766064 880929779 967653436 1751532128 1761859558 1935306872 3503064256 3523719116 3870613744 7047438232 7741227488 14094876464 15482454976 28189752928 46689278287 56379505856 93378556574 186757113148 373514226296 747028452592 1494056905184 2988113810368