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5709288634101 = 3213196142102967
BaseRepresentation
bin101001100010100110000…
…0111101111011011110101
3202012210200010211000201100
41103011030013233123311
51222020110342242401
620050451101320313
71126324331450433
oct123051407573365
922183603730640
105709288634101
111901328658468
127825b9266099
133254caa2cab0
1415a48c557d53
159d7a1ebbb86
hex5314c1ef6f5

5709288634101 has 48 divisors (see below), whose sum is σ = 9501797818240. Its totient is φ = 3273926636160.

The previous prime is 5709288634081. The next prime is 5709288634109. The reversal of 5709288634101 is 1014368829075.

5709288634101 is a `hidden beast` number, since 5 + 7 + 0 + 92 + 88 + 63 + 410 + 1 = 666.

It is not a de Polignac number, because 5709288634101 - 226 = 5709221525237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709288634109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20915881 + ... + 21187086.

It is a 1-persistent number, because it is pandigital, but 2⋅5709288634101 = 11418577268202 is not.

Almost surely, 25709288634101 is an apocalyptic number.

It is an amenable number.

5709288634101 is a deficient number, since it is larger than the sum of its proper divisors (3792509184139).

5709288634101 is a wasteful number, since it uses less digits than its factorization.

5709288634101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42103066 (or 42103063 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 570928 and 8634101, that added together give a palindrome (9205029).

The spelling of 5709288634101 in words is "five trillion, seven hundred nine billion, two hundred eighty-eight million, six hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 13 19 39 57 61 117 171 183 247 549 741 793 1159 2223 2379 3477 7137 10431 15067 45201 135603 42102967 126308901 378926703 547338571 799956373 1642015713 2399869119 2568280987 4926047139 7199607357 7704842961 10399432849 23114528883 31198298547 33387652831 48797338753 93594895641 100162958493 146392016259 300488875479 439176048777 634365403789 1903096211367 5709288634101