Search a number
-
+
54151012131606 = 232131247918544321
BaseRepresentation
bin11000101000000000000111…
…10101111010001100010110
321002201210020010211002111100
430110000003311322030112
524044202233101202411
6311100344225250530
714256165363364425
oct1424000365721426
9232653203732440
1054151012131606
11162883516a8305
1260a69b4493a46
13242a559694bb0
14d52ccc8c32bc
1563d8d34c5456
hex314003d7a316

54151012131606 has 48 divisors (see below), whose sum is σ = 126362493653760. Its totient is φ = 16660513797120.

The previous prime is 54151012131599. The next prime is 54151012131641. The reversal of 54151012131606 is 60613121015145.

54151012131606 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 1 + 0 + 12 + 1 + 31 + 606 = 666.

It is a super-2 number, since 2×541510121316062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352075 + ... + 12192246.

It is an arithmetic number, because the mean of its divisors is an integer number (2632551951120).

Almost surely, 254151012131606 is an apocalyptic number.

54151012131606 is an abundant number, since it is smaller than the sum of its proper divisors (72211481522154).

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

54151012131606 is a wasteful number, since it uses less digits than its factorization.

54151012131606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556821 (or 18556818 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 54151012131606 in words is "fifty-four trillion, one hundred fifty-one billion, twelve million, one hundred thirty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 12479 24958 37437 74874 112311 162227 224622 324454 486681 973362 1460043 2920086 18544321 37088642 55632963 111265926 166898889 241076173 333797778 482152346 723228519 1446457038 2169685557 4339371114 231414581759 462829163518 694243745277 1388487490554 2082731235831 3008389562867 4165462471662 6016779125734 9025168688601 18050337377202 27075506065803 54151012131606