Search a number
-
+
51139284059520 = 273551916772543
BaseRepresentation
bin10111010000010110010101…
…10111000100010110000000
320201001212102122010000200000
423220023022313010112000
523200331223204401040
6300433021320400000
713525456063224336
oct1350131267042600
9221055378100600
1051139284059520
1115327059720478
12589b176916000
13226c54c14c987
14c8b224155b56
155da3b4327130
hex2e82cadc4580

51139284059520 has 768 divisors, whose sum is σ = 184433939988480. Its totient is φ = 13540379074560.

The previous prime is 51139284059467. The next prime is 51139284059557. The reversal of 51139284059520 is 2595048293115.

51139284059520 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 9 + 2 + 8 + 40 + 595 + 2 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 20109823369 + ... + 20109825911.

It is an arithmetic number, because the mean of its divisors is an integer number (240148359360).

Almost surely, 251139284059520 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 51139284059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92216969994240).

51139284059520 is an abundant number, since it is smaller than the sum of its proper divisors (133294655928960).

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

51139284059520 is a wasteful number, since it uses less digits than its factorization.

51139284059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 51139284059520 in words is "fifty-one trillion, one hundred thirty-nine billion, two hundred eighty-four million, fifty-nine thousand, five hundred twenty".