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3074639506225 = 52741724212
BaseRepresentation
bin101100101111011110110…
…010111010101100110001
3101212221011220200001101121
4230233132302322230301
5400333330203144400
610312245255102241
7435064301410000
oct54573662725461
911787156601347
103074639506225
11a85a46933511
12417a76671981
13193c252176c1
14a8b55b70c37
1554ea22ed21a
hex2cbdecbab31

3074639506225 has 135 divisors (see below), whose sum is σ = 4735983377571. Its totient is φ = 1979591846400.

The previous prime is 3074639506219. The next prime is 3074639506243. The reversal of 3074639506225 is 5226059364703.

The square root of 3074639506225 is 1753465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2924944801009 + 149694705216 = 1710247^2 + 386904^2 .

It is not a de Polignac number, because 3074639506225 - 217 = 3074639375153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7303181515 + ... + 7303181935.

Almost surely, 23074639506225 is an apocalyptic number.

3074639506225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3074639506225 is the 1753465-th square number.

3074639506225 is the 876733-rd centered octagonal number.

It is an amenable number.

3074639506225 is a deficient number, since it is larger than the sum of its proper divisors (1661343871346).

3074639506225 is an frugal number, since it uses more digits than its factorization.

3074639506225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 3074639506225 in words is "three trillion, seventy-four billion, six hundred thirty-nine million, five hundred six thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 289 343 421 425 595 833 1225 1445 1715 2023 2105 2401 2947 2975 4165 5831 7157 7225 8575 10115 10525 12005 14161 14735 20629 20825 29155 35785 40817 50099 50575 60025 70805 73675 99127 103145 121669 144403 145775 177241 178925 204085 250495 350693 354025 495635 515725 608345 693889 722015 851683 886205 1010821 1020425 1240687 1252475 1753465 2454851 2478175 3013097 3041725 3469445 3610075 4258415 4431025 5054105 5961781 6203435 8684809 8767325 12274255 15065485 17183957 17347225 21091679 21292075 25270525 29808905 31017175 41732467 43424045 51222649 60793663 61371275 75327425 85919785 105458395 147641753 149044525 208662335 217120225 256113245 292127269 303968315 358558543 425555641 429598925 527291975 738208765 1033492271 1043311675 1280566225 1460636345 1519841575 1792792715 2127778205 2509909801 3691043825 5167461355 7234445897 7303181725 8963963575 10638891025 12549549005 17569368607 25837306775 36172229485 62747745025 87846843035 122985580249 180861147425 439234215175 614927901245 3074639506225