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6130006641 = 331122219293
BaseRepresentation
bin1011011010110000…
…00111101001110001
3120211012200121021000
411231120013221301
5100023240203031
62452135152213
7304623124323
oct55530075161
916735617230
106130006641
1126662577a0
121230b15669
13768cb7585
144221b1613
1525d2683e6
hex16d607a71

6130006641 has 32 divisors (see below), whose sum is σ = 9912608640. Its totient is φ = 3713083200.

The previous prime is 6130006639. The next prime is 6130006643. The reversal of 6130006641 is 1466000316.

6130006641 is a `hidden beast` number, since 6 + 13 + 0 + 0 + 0 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (6130006639) and next prime (6130006643).

It is not a de Polignac number, because 6130006641 - 21 = 6130006639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6130006643) 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 31 ways as a sum of consecutive naturals, for example, 654991 + ... + 664283.

It is an arithmetic number, because the mean of its divisors is an integer number (309769020).

Almost surely, 26130006641 is an apocalyptic number.

It is an amenable number.

6130006641 is a deficient number, since it is larger than the sum of its proper divisors (3782601999).

6130006641 is a wasteful number, since it uses less digits than its factorization.

6130006641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11534 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6130006641 is about 78294.3589347279. The cubic root of 6130006641 is about 1830.1512452260.

Adding to 6130006641 its reverse (1466000316), we get a palindrome (7596006957).

The spelling of 6130006641 in words is "six billion, one hundred thirty million, six thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 2221 6663 9293 19989 24431 27879 59967 73293 83637 102223 219879 250911 306669 659637 920007 2760021 20639753 61919259 185757777 227037283 557273331 681111849 2043335547 6130006641