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6142106970 = 2325174014449
BaseRepresentation
bin1011011100001100…
…10001110101011010
3120212001110100210100
411232012101311122
5100034334410340
62453250400230
7305131022256
oct55606216532
916761410710
106142106970
11267207196a
121234b90076
1376b66312c
14423a41266
1525e358830
hex16e191d5a

6142106970 has 48 divisors (see below), whose sum is σ = 16908863400. Its totient is φ = 1541548032.

The previous prime is 6142106959. The next prime is 6142106981. The reversal of 6142106970 is 796012416.

It is an interprime number because it is at equal distance from previous prime (6142106959) and next prime (6142106981).

It can be written as a sum of positive squares in 4 ways, for example, as 5496591321 + 645515649 = 74139^2 + 25407^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2005695 + ... + 2008754.

Almost surely, 26142106970 is an apocalyptic number.

6142106970 is an abundant number, since it is smaller than the sum of its proper divisors (10766756430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6142106970 is a wasteful number, since it uses less digits than its factorization.

6142106970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014479 (or 4014476 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6142106970 is about 78371.5954284459. The cubic root of 6142106970 is about 1831.3546629988.

The spelling of 6142106970 in words is "six billion, one hundred forty-two million, one hundred six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4014449 8028898 12043347 20072245 24086694 36130041 40144490 60216735 68245633 72260082 120433470 136491266 180650205 204736899 341228165 361300410 409473798 614210697 682456330 1023684495 1228421394 2047368990 3071053485 6142106970