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54058678590 = 235717192334651
BaseRepresentation
bin110010010110001001…
…011111100100111110
312011112102221101222010
4302112021133210332
51341203010203330
640500105032050
73622424120640
oct622611374476
9164472841863
1054058678590
1120a20795384
12a588185626
135136897aa7
14288b79a890
151615d5b3b0
hexc9625f93e

54058678590 has 256 divisors, whose sum is σ = 172450529280. Its totient is φ = 10538035200.

The previous prime is 54058678537. The next prime is 54058678591. The reversal of 54058678590 is 9587685045.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 54058678590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54058678591) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1542765 + ... + 1577415.

It is an arithmetic number, because the mean of its divisors is an integer number (673634880).

Almost surely, 254058678590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54058678590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86225264640).

54058678590 is an abundant number, since it is smaller than the sum of its proper divisors (118391850690).

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

54058678590 is a wasteful number, since it uses less digits than its factorization.

54058678590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34727.

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 54058678590 in words is "fifty-four billion, fifty-eight million, six hundred seventy-eight thousand, five hundred ninety".