Search a number
-
+
27071457996 = 22311477335953
BaseRepresentation
bin11001001101100101…
…011010101011001100
32120212122201112222110
4121031211122223030
5420420243123441
620234135144020
71645566411342
oct311545325314
976778645873
1027071457996
1110532150090
1252b6215010
13272573cbcb
14144b523992
15a8699cb16
hex64d95aacc

27071457996 has 96 divisors (see below), whose sum is σ = 70483166208. Its totient is φ = 8016629760.

The previous prime is 27071457911. The next prime is 27071457997. The reversal of 27071457996 is 69975417072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27071457997) 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, 4544556 + ... + 4550508.

It is an arithmetic number, because the mean of its divisors is an integer number (734199648).

Almost surely, 227071457996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27071457996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35241583104).

27071457996 is an abundant number, since it is smaller than the sum of its proper divisors (43411708212).

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

27071457996 is a wasteful number, since it uses less digits than its factorization.

27071457996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 27071457996 in words is "twenty-seven billion, seventy-one million, four hundred fifty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 733 1034 1466 1551 2068 2199 2932 3102 4398 5953 6204 8063 8796 11906 16126 17859 23812 24189 32252 34451 35718 48378 65483 68902 71436 96756 103353 130966 137804 196449 206706 261932 279791 378961 392898 413412 559582 757922 785796 839373 1119164 1136883 1515844 1678746 2273766 3077701 3357492 4363549 4547532 6155402 8727098 9233103 12310804 13090647 17454196 18466206 26181294 36932412 47999039 52362588 95998078 143997117 191996156 205086803 287994234 410173606 575988468 615260409 820347212 1230520818 2255954833 2461041636 4511909666 6767864499 9023819332 13535728998 27071457996