Search a number
-
+
27022322872896 = 2631317636838303
BaseRepresentation
bin1100010010011100111111…
…11101001011001001000000
310112200022100010211220212020
412021032133331023021000
512020213204123413041
6133245514520201440
75456204231413161
oct611163775131100
9115608303756766
1027022322872896
11867911487816a
123045135309280
13121026a60a0a0
14695c5d07d768
1531cda51de866
hex18939ff4b240

27022322872896 has 112 divisors (see below), whose sum is σ = 81525492324864. Its totient is φ = 7825469054976.

The previous prime is 27022322872891. The next prime is 27022322872901. The reversal of 27022322872896 is 69827822322072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27022322872891) and next prime (27022322872901).

It is not an unprimeable number, because it can be changed into a prime (27022322872891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318376720 + ... + 318461583.

It is an arithmetic number, because the mean of its divisors is an integer number (727906181472).

Almost surely, 227022322872896 is an apocalyptic number.

27022322872896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27022322872896 is an abundant number, since it is smaller than the sum of its proper divisors (54503169451968).

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

27022322872896 is a wasteful number, since it uses less digits than its factorization.

27022322872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636838348 (or 636838338 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 27022322872896 in words is "twenty-seven trillion, twenty-two billion, three hundred twenty-two million, eight hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 636838303 1273676606 1910514909 2547353212 3821029818 5094706424 7642059636 8278897939 10189412848 10826251151 15284119272 16557795878 20378825696 21652502302 24836693817 30568238544 32478753453 33115591756 40757651392 43305004604 49673387634 61136477088 64957506906 66231183512 86610009208 99346775268 122272954176 129915013812 132462367024 140741264963 173220018416 198693550536 259830027624 264924734048 281482529926 346440036832 397387101072 422223794889 519660055248 529849468096 562965059852 692880073664 794774202144 844447589778 1039320110496 1125930119704 1589548404288 1688895179556 2078640220992 2251860239408 3377790359112 4503720478816 6755580718224 9007440957632 13511161436448 27022322872896