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27756137201 = 13171794911429
BaseRepresentation
bin11001110110011001…
…010000101011110001
32122122101001212021112
4121312121100223301
5423321032342301
620430114203105
72001552162542
oct316631205361
978571055245
1027756137201
1110853685771
125467583495
132804546930
1414b44304c9
15ac6b459bb
hex676650af1

27756137201 has 32 divisors (see below), whose sum is σ = 31913481600. Its totient is φ = 23913630720.

The previous prime is 27756137141. The next prime is 27756137203. The reversal of 27756137201 is 10273165772.

It is a de Polignac number, because none of the positive numbers 2k-27756137201 is a prime.

It is a super-2 number, since 2×277561372012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27756137203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19422755 + ... + 19424183.

It is an arithmetic number, because the mean of its divisors is an integer number (997296300).

Almost surely, 227756137201 is an apocalyptic number.

It is an amenable number.

27756137201 is a deficient number, since it is larger than the sum of its proper divisors (4157344399).

27756137201 is a wasteful number, since it uses less digits than its factorization.

27756137201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129.

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 27756137201 in words is "twenty-seven billion, seven hundred fifty-six million, one hundred thirty-seven thousand, two hundred one".

Divisors: 1 13 17 179 221 491 1429 2327 3043 6383 8347 18577 24293 39559 87889 108511 255791 315809 701639 1142557 1494113 3325283 4348447 9121307 11927863 19423469 56529811 125593381 155062219 1632713953 2135087477 27756137201