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3485823628368 = 243435772926981
BaseRepresentation
bin110010101110011011010…
…001110111010001010000
3110100020112001010200201110
4302232123101313101100
5424102431322101433
611225210521533320
7506561646651054
oct62563321672120
913306461120643
103485823628368
111124369621364
124836ab344240
131c39339685a3
14c0a01451c64
1560a1aa05963
hex32b9b477450

3485823628368 has 80 divisors (see below), whose sum is σ = 9230436771776. Its totient is φ = 1132952002560.

The previous prime is 3485823628349. The next prime is 3485823628373. The reversal of 3485823628368 is 8638263285843.

It is a happy number.

3485823628368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34858236283683 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3485823628299 and 3485823628308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272563 + ... + 2654418.

Almost surely, 23485823628368 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 3485823628368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615218385888).

3485823628368 is an abundant number, since it is smaller than the sum of its proper divisors (5744613143408).

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

3485823628368 is a wasteful number, since it uses less digits than its factorization.

3485823628368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927612 (or 2927606 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 66.

The spelling of 3485823628368 in words is "three trillion, four hundred eighty-five billion, eight hundred twenty-three million, six hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 577 688 1032 1154 1731 2064 2308 3462 4616 6924 9232 13848 24811 27696 49622 74433 99244 148866 198488 297732 396976 595464 1190928 2926981 5853962 8780943 11707924 17561886 23415848 35123772 46831696 70247544 125860183 140495088 251720366 377580549 503440732 755161098 1006881464 1510322196 1688868037 2013762928 3020644392 3377736074 5066604111 6041288784 6755472148 10133208222 13510944296 20266416444 27021888592 40532832888 72621325591 81065665776 145242651182 217863976773 290485302364 435727953546 580970604728 871455907092 1161941209456 1742911814184 3485823628368