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7076211813225 = 325237247932
BaseRepresentation
bin110011011111000111100…
…0101110110101101101001
3221001110221100221020001100
41212332033011312231221
51411414040211010400
623014433345112013
71330145060663412
oct146761705665551
927043840836040
107076211813225
112289006101655
12963501028609
133c438c9a0cb9
141a66c1c36809
15c4106337100
hex66f8f176b69

7076211813225 has 81 divisors (see below), whose sum is σ = 13028806111503. Its totient is φ = 3671214071040.

The previous prime is 7076211813133. The next prime is 7076211813227. The reversal of 7076211813225 is 5223181126707.

The square root of 7076211813225 is 2660115.

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

7076211813225 is a `hidden beast` number, since 7 + 0 + 7 + 621 + 1 + 8 + 13 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 29480546601 + 7046731266624 = 171699^2 + 2654568^2 .

It is not a de Polignac number, because 7076211813225 - 223 = 7076203424617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7076211813227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1476361429 + ... + 1476366221.

Almost surely, 27076211813225 is an apocalyptic number.

7076211813225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7076211813225 is the 2660115-th square number.

7076211813225 is the 1330058-th centered octagonal number.

It is an amenable number.

7076211813225 is a deficient number, since it is larger than the sum of its proper divisors (5952594298278).

7076211813225 is an frugal number, since it uses more digits than its factorization.

7076211813225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 7076211813225 in words is "seven trillion, seventy-six billion, two hundred eleven million, eight hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1369 1665 2775 4107 4793 6845 8325 12321 14379 20535 23965 34225 43137 61605 71895 102675 119825 177341 215685 308025 359475 532023 886705 1078425 1596069 2660115 4433525 6561617 7980345 13300575 19684851 22972849 32808085 39901725 59054553 68918547 98424255 114864245 164040425 206755641 295272765 344592735 492121275 574321225 849995413 1033778205 1476363825 1722963675 2549986239 4249977065 5168891025 7649958717 12749931195 21249885325 31449830281 38249793585 63749655975 94349490843 157249151405 191248967925 283048472529 471747454215 786245757025 1415242362645 2358737271075 7076211813225