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3847377914112 = 28330764125457
BaseRepresentation
bin110111111111001001100…
…110000000100100000000
3111121210202101022102102110
4313333021212000210000
51001013412221222422
612103243325015320
7544651416453435
oct67771146004400
914553671272373
103847377914112
111253733593597
125217930b4540
1321ba63242685
14d42dd63bb8c
156a12c0d660c
hex37fc9980900

3847377914112 has 144 divisors (see below), whose sum is σ = 10289420551872. Its totient is φ = 1276237578240.

The previous prime is 3847377914077. The next prime is 3847377914117. The reversal of 3847377914112 is 2114197737483.

It is not an unprimeable number, because it can be changed into a prime (3847377914117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151119688 + ... + 151145144.

It is an arithmetic number, because the mean of its divisors is an integer number (71454309388).

Almost surely, 23847377914112 is an apocalyptic number.

3847377914112 is a gapful number since it is divisible by the number (32) 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 3847377914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144710275936).

3847377914112 is an abundant number, since it is smaller than the sum of its proper divisors (6442042637760).

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

3847377914112 is a wasteful number, since it uses less digits than its factorization.

3847377914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26424 (or 26410 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The spelling of 3847377914112 in words is "three trillion, eight hundred forty-seven billion, three hundred seventy-seven million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 614 641 768 921 1228 1282 1842 1923 2456 2564 3684 3846 4912 5128 7368 7692 9824 10256 14736 15384 19648 20512 25457 29472 30768 39296 41024 50914 58944 61536 76371 78592 82048 101828 117888 123072 152742 164096 196787 203656 235776 246144 305484 393574 407312 492288 590361 610968 787148 814624 1180722 1221936 1574296 1629248 2361444 2443872 3148592 3258496 4722888 4887744 6297184 6516992 7815299 9445776 9775488 12594368 15630598 16317937 18891552 19550976 23445897 25188736 31261196 32635874 37783104 46891794 48953811 50377472 62522392 65271748 75566208 93783588 97907622 125044784 130543496 151132416 187567176 195815244 250089568 261086992 375134352 391630488 500179136 522173984 750268704 783260976 1000358272 1044347968 1500537408 1566521952 2000716544 2088695936 3001074816 3133043904 4177391872 5009606659 6002149632 6266087808 10019213318 12532175616 15028819977 20038426636 30057639954 40076853272 60115279908 80153706544 120230559816 160307413088 240461119632 320614826176 480922239264 641229652352 961844478528 1282459304704 1923688957056 3847377914112