Search a number
-
+
54100174134360 = 23353143836915897
BaseRepresentation
bin11000100110100001011011…
…01010010101110001011000
321002112221000011011020202110
430103100231222111301120
524042334124034244420
6311021135450432320
714252415514501134
oct1423205552256130
9232487004136673
1054100174134360
1116268833a01552
126098b86a326a0
13242581712a213
14d50668b763c4
1563c40a29eee0
hex31342da95c58

54100174134360 has 512 divisors, whose sum is σ = 173778203934720. Its totient is φ = 13450577817600.

The previous prime is 54100174134337. The next prime is 54100174134371. The reversal of 54100174134360 is 6343147100145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9174182932 + ... + 9174188828.

It is an arithmetic number, because the mean of its divisors is an integer number (339410554560).

Almost surely, 254100174134360 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 54100174134360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86889101967360).

54100174134360 is an abundant number, since it is smaller than the sum of its proper divisors (119678029800360).

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

54100174134360 is a wasteful number, since it uses less digits than its factorization.

54100174134360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 54100174134360 in words is "fifty-four trillion, one hundred billion, one hundred seventy-four million, one hundred thirty-four thousand, three hundred sixty".