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4231670893528 = 2313194152399871
BaseRepresentation
bin111101100101000011001…
…111011000101111011000
3112222112200102100110211011
4331211003033120233120
51023312430222043103
613000000333143304
7614504515053511
oct75450317305730
915875612313734
104231670893528
111391706999941
1258416202ab34
13249077707ba0
14108b57735a08
157511eaacd6d
hex3d9433d8bd8

4231670893528 has 128 divisors (see below), whose sum is σ = 9231528499200. Its totient is φ = 1801686758400.

The previous prime is 4231670893523. The next prime is 4231670893537. The reversal of 4231670893528 is 8253980761324.

It is a happy number.

It is a super-2 number, since 2×42316708935282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231670893523) 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 31 ways as a sum of consecutive naturals, for example, 42321433 + ... + 42421303.

It is an arithmetic number, because the mean of its divisors is an integer number (72121316400).

It is a 1-persistent number, because it is pandigital, but 2⋅4231670893528 = 8463341787056 is not.

Almost surely, 24231670893528 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 4231670893528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615764249600).

4231670893528 is an abundant number, since it is smaller than the sum of its proper divisors (4999857605672).

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

4231670893528 is a wasteful number, since it uses less digits than its factorization.

4231670893528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100473 (or 100469 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 4231670893528 in words is "four trillion, two hundred thirty-one billion, six hundred seventy million, eight hundred ninety-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 41 52 76 82 104 152 164 247 328 494 523 533 779 988 1046 1066 1558 1976 2092 2132 3116 4184 4264 6232 6799 9937 10127 13598 19874 20254 21443 27196 39748 40508 42886 54392 79496 81016 85772 99871 129181 171544 199742 258362 278759 399484 407417 516724 557518 798968 814834 1033448 1115036 1298323 1629668 1897549 2230072 2596646 3259336 3795098 4094711 5193292 5296421 7590196 8189422 10386584 10592842 15180392 16378844 21185684 24668137 32757688 42371368 49336274 52232533 53231243 77799509 98672548 104465066 106462486 155599018 197345096 208930132 212924972 311198036 417860264 425849944 622396072 679022929 992418127 1011393617 1358045858 1984836254 2022787234 2141533853 2716091716 3969672508 4045574468 4283067706 5432183432 7939345016 8091148936 8566135412 12901435651 17132270824 25802871302 27839940089 40689143207 51605742604 55679880178 81378286414 103211485208 111359760356 162756572828 222719520712 325513145656 528958861691 1057917723382 2115835446764 4231670893528