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27740412102 = 231323115313411
BaseRepresentation
bin11001110101011101…
…010001100011000110
32122121021110221111110
4121311131101203012
5423303021141402
620424353145450
72001301420014
oct316535214306
978537427443
1027740412102
1110845815217
12546225b286
1328011cc240
1414b22d98b4
15ac558b56c
hex6757518c6

27740412102 has 64 divisors (see below), whose sum is σ = 62405070336. Its totient is φ = 8156712960.

The previous prime is 27740412061. The next prime is 27740412107. The reversal of 27740412102 is 20121404772.

27740412102 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 27740412102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27740412107) 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, 2061777 + ... + 2075187.

It is an arithmetic number, because the mean of its divisors is an integer number (975079224).

Almost surely, 227740412102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27740412102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31202535168).

27740412102 is an abundant number, since it is smaller than the sum of its proper divisors (34664658234).

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

27740412102 is a wasteful number, since it uses less digits than its factorization.

27740412102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14605.

The product of its (nonzero) digits is 6272, while the sum is 30.

Adding to 27740412102 its reverse (20121404772), we get a palindrome (47861816874).

The spelling of 27740412102 in words is "twenty-seven billion, seven hundred forty million, four hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1153 1794 2306 3459 6918 13411 14989 26519 26822 29978 40233 44967 53038 79557 80466 89934 159114 174343 308453 344747 348686 523029 616906 689494 925359 1034241 1046058 1850718 2068482 4009889 8019778 12029667 15462883 24059334 30925766 46388649 92777298 201017479 355646309 402034958 603052437 711292618 1066938927 1206104874 2133877854 4623402017 9246804034 13870206051 27740412102