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4087354067544 = 2331124197166161
BaseRepresentation
bin111011011110101001010…
…010011000101001011000
3112110202011201210010002010
4323132221102120221120
51013431400120130134
612405412102505520
7601205305221636
oct73365122305130
915422151703063
104087354067544
1113364898a5520
125601a67352a0
132385886b4bb7
14101b86a80356
15714c4dd1ce9
hex3b7a9498a58

4087354067544 has 128 divisors (see below), whose sum is σ = 11205281007360. Its totient is φ = 1232163840000.

The previous prime is 4087354067509. The next prime is 4087354067549. The reversal of 4087354067544 is 4457604537804.

4087354067544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087354067549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61745824 + ... + 61811984.

It is an arithmetic number, because the mean of its divisors is an integer number (87541257870).

Almost surely, 24087354067544 is an apocalyptic number.

4087354067544 is a gapful number since it is divisible by the number (44) 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 4087354067544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602640503680).

4087354067544 is an abundant number, since it is smaller than the sum of its proper divisors (7117926939816).

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

4087354067544 is a wasteful number, since it uses less digits than its factorization.

4087354067544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67393 (or 67389 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 4087354067544 in words is "four trillion, eighty-seven billion, three hundred fifty-four million, sixty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 971 1446 1928 1942 2651 2892 2913 3884 5302 5784 5826 7768 7953 10604 10681 11652 15906 21208 21362 23304 31812 32043 42724 63624 64086 66161 85448 128172 132322 198483 234011 256344 264644 396966 468022 529288 702033 727771 793932 936044 1404066 1455542 1587864 1872088 2183313 2574121 2808132 2911084 4366626 5148242 5616264 5822168 7722363 8733252 10296484 15444726 15944801 17466504 20592968 30889452 31889602 47834403 61778904 63779204 64242331 95668806 127558408 128484662 175392811 191337612 192726993 256969324 350785622 382675224 385453986 513938648 526178433 701571244 706665641 770907972 1052356866 1403142488 1413331282 1541815944 2104713732 2119996923 2826662564 4209427464 4239993846 5653325128 8479987692 15482401771 16959975384 30964803542 46447205313 61929607084 92894410626 123859214168 170306419481 185788821252 340612838962 371577642504 510919258443 681225677924 1021838516886 1362451355848 2043677033772 4087354067544