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3481011411648 = 26337975051621
BaseRepresentation
bin110010101001111100011…
…100101101101011000000
3110022210002200002202101120
4302221330130231223000
5424013102410133043
611223053215232240
7506331464536521
oct62517434555300
913283080082346
103481011411648
11112231a212751
12482787818680
131c33479a7484
14c06a62b2848
15608382e3983
hex32a7c72dac0

3481011411648 has 112 divisors (see below), whose sum is σ = 9556618086624. Its totient is φ = 1117337518080.

The previous prime is 3481011411643. The next prime is 3481011411649. The reversal of 3481011411648 is 8461141101843.

It is a happy number.

3481011411648 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 (3481011411643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836723 + ... + 3214898.

It is an arithmetic number, because the mean of its divisors is an integer number (85326947202).

Almost surely, 23481011411648 is an apocalyptic number.

It is an amenable number.

3481011411648 is an abundant number, since it is smaller than the sum of its proper divisors (6075606674976).

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

3481011411648 is a wasteful number, since it uses less digits than its factorization.

3481011411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051770 (or 5051760 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 3481011411648 in words is "three trillion, four hundred eighty-one billion, eleven million, four hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 97 111 148 192 194 222 291 296 388 444 582 592 776 888 1164 1184 1552 1776 2328 2368 3104 3552 3589 4656 6208 7104 7178 9312 10767 14356 18624 21534 28712 43068 57424 86136 114848 172272 229696 344544 689088 5051621 10103242 15154863 20206484 30309726 40412968 60619452 80825936 121238904 161651872 186909977 242477808 323303744 373819954 484955616 490007237 560729931 747639908 969911232 980014474 1121459862 1470021711 1495279816 1960028948 2242919724 2940043422 2990559632 3920057896 4485839448 5880086844 5981119264 7840115792 8971678896 11760173688 11962238528 15680231584 17943357792 18130267769 23520347376 31360463168 35886715584 36260535538 47040694752 54390803307 72521071076 94081389504 108781606614 145042142152 217563213228 290084284304 435126426456 580168568608 870252852912 1160337137216 1740505705824 3481011411648