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4104967269928 = 2378913740914699
BaseRepresentation
bin111011101111000011000…
…111011010111000101000
3112112102122020010111112011
4323233003013122320220
51014223433110114203
612421443530525304
7602400626040130
oct73570307327050
915472566114464
104104967269928
1113429a800a128
125636a1296834
1323a134747245
14102977d81ac0
1571ba633376d
hex3bbc31dae28

4104967269928 has 128 divisors (see below), whose sum is σ = 8982640800000. Its totient is φ = 1722468261888.

The previous prime is 4104967269881. The next prime is 4104967269937. The reversal of 4104967269928 is 8299627694014.

It is a happy number.

It is a super-2 number, since 2×41049672699282 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 279261123 + ... + 279275821.

It is an arithmetic number, because the mean of its divisors is an integer number (70176881250).

Almost surely, 24104967269928 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 4104967269928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491320400000).

4104967269928 is an abundant number, since it is smaller than the sum of its proper divisors (4877673530072).

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

4104967269928 is a wasteful number, since it uses less digits than its factorization.

4104967269928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347 (or 15343 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 4104967269928 in words is "four trillion, one hundred four billion, nine hundred sixty-seven million, two hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 89 137 178 274 356 409 548 623 712 818 959 1096 1246 1636 1918 2492 2863 3272 3836 4984 5726 7672 11452 12193 14699 22904 24386 29398 36401 48772 56033 58796 72802 85351 97544 102893 112066 117592 145604 170702 205786 224132 254807 291208 341404 392231 411572 448264 509614 682808 784462 823144 1019228 1308211 1568924 2013763 2038456 2616422 3137848 4027526 4986937 5232844 6011891 8055052 9157477 9973874 10465688 12023782 14096341 16110104 18314954 19947748 24047564 28192682 34908559 36629908 39895496 42083237 48095128 56385364 69817118 73259816 84166474 112770728 139634236 168332948 179224907 279268472 336665896 358449814 535058299 716899628 823629067 1070116598 1254574349 1433799256 1647258134 2140233196 2509148698 3294516268 3745408093 4280466392 5018297396 5765403469 6589032536 7490816186 10036594792 11530806938 14981632372 23061613876 29963264744 46123227752 73302986963 146605973926 293211947852 513120908741 586423895704 1026241817482 2052483634964 4104967269928