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274341421928 = 237293116073391
BaseRepresentation
bin1111111110000000000…
…1011110001101101000
3222020010022210012122202
43333200001132031220
513443322401000203
6330010344435332
725551302416310
oct3774001361550
9866108705582
10274341421928
11a6390642882
1245204478b48
131cb41029b32
14d3c7524440
157209c9c388
hex3fe005e368

274341421928 has 128 divisors (see below), whose sum is σ = 628339507200. Its totient is φ = 109757894400.

The previous prime is 274341421927. The next prime is 274341422011. The reversal of 274341421928 is 829124143472.

274341421928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (274341421927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80901113 + ... + 80904503.

It is an arithmetic number, because the mean of its divisors is an integer number (4908902400).

Almost surely, 2274341421928 is an apocalyptic number.

274341421928 is a gapful number since it is divisible by the number (28) 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 274341421928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314169753600).

274341421928 is an abundant number, since it is smaller than the sum of its proper divisors (353998085272).

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

274341421928 is a wasteful number, since it uses less digits than its factorization.

274341421928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5067 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The spelling of 274341421928 in words is "two hundred seventy-four billion, three hundred forty-one million, four hundred twenty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 203 217 232 248 406 434 812 868 899 1607 1624 1736 1798 3214 3391 3596 6293 6428 6782 7192 11249 12586 12856 13564 22498 23737 25172 27128 44996 46603 47474 49817 50344 89992 93206 94948 98339 99634 105121 186412 189896 196678 199268 210242 326221 348719 372824 393356 398536 420484 652442 688373 697438 735847 786712 840968 1304884 1376746 1394876 1444693 1471694 2609768 2753492 2789752 2889386 2943388 3048509 5449337 5506984 5778772 5886776 6097018 10112851 10898674 11557544 12194036 20225702 21339563 21797348 24388072 38145359 40451404 42679126 43594696 76290718 80902808 85358252 152581436 158030773 168929447 170716504 305162872 316061546 337858894 632123092 675717788 1106215411 1182506129 1264246184 1351435576 2212430822 2365012258 4424861644 4730024516 4898953963 8849723288 9460049032 9797907926 19595815852 34292677741 39191631704 68585355482 137170710964 274341421928