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6978096225 = 325255692
BaseRepresentation
bin1100111111110110…
…10100110001100001
3200000022112000110100
412133323110301201
5103242343034400
63112232453013
7334631560602
oct63773246141
920008460410
106978096225
112a60a53a81
121428b4a169
13872907129
144a2a97da9
152ac93e100
hex19fed4c61

6978096225 has 27 divisors (see below), whose sum is σ = 12500790393. Its totient is φ = 3720983040.

The previous prime is 6978096197. The next prime is 6978096239. The reversal of 6978096225 is 5226908796.

The square root of 6978096225 is 83535.

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

6978096225 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 0 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1533427281 + 5444668944 = 39159^2 + 73788^2 .

It is not a de Polignac number, because 6978096225 - 29 = 6978095713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1250241 + ... + 1255809.

Almost surely, 26978096225 is an apocalyptic number.

6978096225 is the 83535-th square number.

6978096225 is the 41768-th centered octagonal number.

It is an amenable number.

6978096225 is a deficient number, since it is larger than the sum of its proper divisors (5522694168).

6978096225 is an frugal number, since it uses more digits than its factorization.

6978096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 6978096225 is about 1910.9338401996.

The spelling of 6978096225 in words is "six billion, nine hundred seventy-eight million, ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 5569 16707 27845 50121 83535 139225 250605 417675 1253025 31013761 93041283 155068805 279123849 465206415 775344025 1395619245 2326032075 6978096225