Search a number
-
+
27307427530464 = 253410535272967
BaseRepresentation
bin1100011010110000000011…
…00001001000011011100000
310120200120020120120011010000
412031120001201020123200
512034401102421433324
6134024505314340000
75515616340130314
oct615300141103340
9116616216504100
1027307427530464
118779018a35204
12309044228a600
1312311054a43b3
146a5987c41b44
153254ded5d9c9
hex18d6018486e0

27307427530464 has 60 divisors (see below), whose sum is σ = 80310385835064. Its totient is φ = 9102475842624.

The previous prime is 27307427530463. The next prime is 27307427530507. The reversal of 27307427530464 is 46403572470372.

27307427530464 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 7 + 4 + 275 + 304 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27307427530464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27307427530463) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5267633892 + ... + 5267639075.

Almost surely, 227307427530464 is an apocalyptic number.

27307427530464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27307427530464 is an abundant number, since it is smaller than the sum of its proper divisors (53002958304600).

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

27307427530464 is a wasteful number, since it uses less digits than its factorization.

27307427530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535272989 (or 10535272972 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 54.

The spelling of 27307427530464 in words is "twenty-seven trillion, three hundred seven billion, four hundred twenty-seven million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 10535272967 21070545934 31605818901 42141091868 63211637802 84282183736 94817456703 126423275604 168564367472 189634913406 252846551208 284452370109 337128734944 379269826812 505693102416 568904740218 758539653624 853357110327 1011386204832 1137809480436 1517079307248 1706714220654 2275618960872 3034158614496 3413428441308 4551237921744 6826856882616 9102475843488 13653713765232 27307427530464