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2055174553744 = 2413219214512
BaseRepresentation
bin11101111010000001111…
…100110000000010010000
321021110202122111120212121
4131322001330300002100
5232132444141204434
64212044551104024
7301324066321234
oct35720174600220
97243678446777
102055174553744
1172265a503734
12292381972014
1311ba5737a900
147168451c5c4
15386d6ca87b4
hex1de81f30090

2055174553744 has 135 divisors (see below), whose sum is σ = 4553779463289. Its totient is φ = 897999523200.

The previous prime is 2055174553723. The next prime is 2055174553759. The reversal of 2055174553744 is 4473554715502.

The square root of 2055174553744 is 1433588.

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., 304019904400 + 1751154649344 = 551380^2 + 1323312^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2055174553691 and 2055174553700.

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 26 ways as a sum of consecutive naturals, for example, 1416384219 + ... + 1416385669.

Almost surely, 22055174553744 is an apocalyptic number.

2055174553744 is the 1433588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055174553744

2055174553744 is an abundant number, since it is smaller than the sum of its proper divisors (2498604909545).

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

2055174553744 is an equidigital number, since it uses as much as digits as its factorization.

2055174553744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 52.

The spelling of 2055174553744 in words is "two trillion, fifty-five billion, one hundred seventy-four million, five hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 361 494 676 722 988 1352 1444 1451 1976 2704 2888 2902 3211 3952 4693 5776 5804 6422 9386 11608 12844 18772 18863 23216 25688 27569 37544 37726 51376 55138 61009 75088 75452 110276 122018 150904 220552 244036 245219 301808 358397 441104 488072 490438 523811 716794 976144 980876 1047622 1433588 1961752 2095244 2105401 2867176 3923504 4190488 4210802 4659161 5734352 6809543 8380976 8421604 9318322 13619086 16843208 18636644 27238172 27370213 33686416 37273288 40002619 54476344 54740426 74546576 80005238 88524059 108952688 109480852 160010476 177048118 218961704 320020952 354096236 355812769 437923408 520034047 640041904 708192472 711625538 760049761 1040068094 1416384944 1423251076 1520099522 2080136188 2846502152 3040199044 4160272376 5693004304 6080398088 6760442611 8320544752 9880646893 12160796176 13520885222 19761293786 27041770444 39522587572 54083540888 79045175144 108167081776 128448409609 158090350288 256896819218 513793638436 1027587276872 2055174553744