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2039618135104 = 26112162292
BaseRepresentation
bin11101101011100010101…
…101101110010001000000
321012222121111100122022021
4131223202231232101000
5231404114220310404
64200553155051224
7300233432045104
oct35534255562100
97188544318267
102039618135104
11716aa72a0100
1228b35bba0b14
1311a448484974
1470a0a457904
15380c61d4454
hex1dae2b6e440

2039618135104 has 63 divisors (see below), whose sum is σ = 4449033169861. Its totient is φ = 927042026240.

The previous prime is 2039618135101. The next prime is 2039618135111. The reversal of 2039618135104 is 4015318169302.

The square root of 2039618135104 is 1428152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1989656944704 + 49961190400 = 1410552^2 + 223520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2039618135101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125669262 + ... + 125685490.

Almost surely, 22039618135104 is an apocalyptic number.

2039618135104 is the 1428152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039618135104

2039618135104 is an abundant number, since it is smaller than the sum of its proper divisors (2409415034757).

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

2039618135104 is an frugal number, since it uses more digits than its factorization.

2039618135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32492 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 2039618135104 in words is "two trillion, thirty-nine billion, six hundred eighteen million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 16229 32458 64916 129832 178519 259664 357038 519328 714076 1038656 1428152 1963709 2856304 3927418 5712608 7854836 11425216 15709672 31419344 62838688 125677376 263380441 526760882 1053521764 2107043528 2897184851 4214087056 5794369702 8428174112 11588739404 16856348224 23177478808 31869033361 46354957616 63738066722 92709915232 127476133444 185419830464 254952266888 509904533776 1019809067552 2039618135104