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58380873444 = 2235211284657
BaseRepresentation
bin110110010111110001…
…010110111011100100
312120200122220122200000
4312113301112323210
51424031000422234
642453024421300
74134506144055
oct662761267344
9176618818600
1058380873444
1122839532343
12b393777830
13567518873a
142b7b82072c
1517ba526899
hexd97c56ee4

58380873444 has 72 divisors (see below), whose sum is σ = 153765419808. Its totient is φ = 19367994240.

The previous prime is 58380873409. The next prime is 58380873461. The reversal of 58380873444 is 44437808385.

58380873444 is a `hidden beast` number, since 58 + 3 + 80 + 8 + 73 + 444 = 666.

It is a super-2 number, since 2×583808734442 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62764 + ... + 347420.

Almost surely, 258380873444 is an apocalyptic number.

58380873444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58380873444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76882709904).

58380873444 is an abundant number, since it is smaller than the sum of its proper divisors (95384546364).

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

58380873444 is a wasteful number, since it uses less digits than its factorization.

58380873444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284887 (or 284873 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 58380873444 in words is "fifty-eight billion, three hundred eighty million, eight hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 633 844 972 1266 1899 2532 3798 5697 7596 11394 17091 22788 34182 51273 68364 102546 205092 284657 569314 853971 1138628 1707942 2561913 3415884 5123826 7685739 10247652 15371478 23057217 30742956 46114434 60062627 69171651 92228868 120125254 138343302 180187881 240250508 276686604 360375762 540563643 720751524 1081127286 1621690929 2162254572 3243381858 4865072787 6486763716 9730145574 14595218361 19460291148 29190436722 58380873444