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6151156641 = 3272101138101
BaseRepresentation
bin1011011101010001…
…10011001110100001
3120212200111010121100
411232220303032201
5100044144003031
62454212345013
7305300653200
oct55650631641
916780433540
106151156641
112677193033
121238015169
137704b1276
14424d19237
15260044de6
hex16ea333a1

6151156641 has 36 divisors (see below), whose sum is σ = 10438025364. Its totient is φ = 3480120000.

The previous prime is 6151156637. The next prime is 6151156657. The reversal of 6151156641 is 1466511516.

6151156641 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 1 + 5 + 6 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3272297616 + 2878859025 = 57204^2 + 53655^2 .

It is not a de Polignac number, because 6151156641 - 22 = 6151156637 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6151156596 and 6151156605.

It is not an unprimeable number, because it can be changed into a prime (6151156681) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 24510 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (289945149).

Almost surely, 26151156641 is an apocalyptic number.

It is an amenable number.

6151156641 is a deficient number, since it is larger than the sum of its proper divisors (4286868723).

6151156641 is a wasteful number, since it uses less digits than its factorization.

6151156641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138222 (or 138212 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 6151156641 is about 78429.3098337605. The cubic root of 6151156641 is about 1832.2536500722.

The spelling of 6151156641 in words is "six billion, one hundred fifty-one million, one hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 44541 138101 414303 966707 1242909 2900121 6766949 8700363 13948201 20300847 41844603 60902541 97637407 125533809 292912221 683461849 878736663 2050385547 6151156641