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2885540921344 = 2142325772
BaseRepresentation
bin101001111111010111101…
…001000100000000000000
3101012212002022022122002201
4221333113221010000000
5334234041433440334
610045333232122544
7415321252066234
oct51772751040000
911185068278081
102885540921344
11a128296958a4
123a72a1996454
1317c14a586523
149d93781a5c4
15500d5e42c14
hex29fd7a44000

2885540921344 has 135 divisors (see below), whose sum is σ = 6043197199557. Its totient is φ = 1377649557504.

The previous prime is 2885540921323. The next prime is 2885540921377. The reversal of 2885540921344 is 4431290455882.

The square root of 2885540921344 is 1698688.

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., 2865571840000 + 19969081344 = 1692800^2 + 141312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5000937184 + ... + 5000937760.

Almost surely, 22885540921344 is an apocalyptic number.

2885540921344 is the 1698688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2885540921344

2885540921344 is an abundant number, since it is smaller than the sum of its proper divisors (3157656278213).

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

2885540921344 is an frugal number, since it uses more digits than its factorization.

2885540921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 2885540921344 in words is "two trillion, eight hundred eighty-five billion, five hundred forty million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 577 736 1024 1058 1154 1472 2048 2116 2308 2944 4096 4232 4616 5888 8192 8464 9232 11776 13271 16384 16928 18464 23552 26542 33856 36928 47104 53084 67712 73856 94208 106168 135424 147712 188416 212336 270848 295424 305233 332929 376832 424672 541696 590848 610466 665858 849344 1083392 1181696 1220932 1331716 1698688 2166784 2363392 2441864 2663432 3397376 4333568 4726784 4883728 5326864 6794752 7657367 8667136 9453568 9767456 10653728 13589504 15314734 19534912 21307456 27179008 30629468 39069824 42614912 54358016 61258936 78139648 85229824 108716032 122517872 156279296 170459648 176119441 217432064 245035744 312558592 340919296 352238882 490071488 625117184 681838592 704477764 980142976 1250234368 1363677184 1408955528 1960285952 2500468736 2727354368 2817911056 3920571904 5000937472 5454708736 5635822112 7841143808 11271644224 15682287616 22543288448 31364575232 45086576896 62729150464 90173153792 125458300928 180346307584 360692615168 721385230336 1442770460672 2885540921344