Search a number
-
+
58609041904 = 24721928313903
BaseRepresentation
bin110110100101010111…
…110000000111110000
312121021120020210221201
4312211113300013300
51430012403320104
642531415100544
74143246431200
oct664527600760
9177246223851
1058609041904
1122946304716
12b438071754
1356b052616a
142b9dc56400
1517d05970a4
hexda55f01f0

58609041904 has 120 divisors (see below), whose sum is σ = 139548330240. Its totient is φ = 23710361472.

The previous prime is 58609041901. The next prime is 58609041937. The reversal of 58609041904 is 40914090685.

It is a happy number.

58609041904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58609041901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4208617 + ... + 4222519.

It is an arithmetic number, because the mean of its divisors is an integer number (1162902752).

Almost surely, 258609041904 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 58609041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69774165120).

58609041904 is an abundant number, since it is smaller than the sum of its proper divisors (80939288336).

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

58609041904 is a wasteful number, since it uses less digits than its factorization.

58609041904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 58609041904 in words is "fifty-eight billion, six hundred nine million, forty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 283 304 392 532 566 784 931 1064 1132 1862 1981 2128 2264 3724 3962 4528 5377 7448 7924 10754 13867 13903 14896 15848 21508 27734 27806 31696 37639 43016 55468 55612 75278 86032 97321 110936 111224 150556 194642 221872 222448 263473 264157 301112 389284 526946 528314 602224 681247 778568 1053892 1056628 1362494 1557136 1849099 2107784 2113256 2724988 3698198 3934549 4215568 4226512 5449976 7396396 7869098 10899952 12943693 14792792 15738196 25887386 27541843 29585584 31476392 51774772 55083686 62952784 74756431 103549544 110167372 149512862 192792901 207099088 220334744 299025724 385585802 440669488 523295017 598051448 771171604 1046590034 1196102896 1542343208 2093180068 3084686416 3663065119 4186360136 7326130238 8372720272 14652260476 29304520952 58609041904