Search a number
-
+
58479951192 = 233131943322783
BaseRepresentation
bin110110011101101011…
…010011110101011000
312120221120100022210020
4312131223103311120
51424231331414232
642510524150440
74140121245345
oct663553236530
9176846308706
1058479951192
112288a453983
12b400998420
13568c868520
142b8aa517cc
1517c4097e2c
hexd9dad3d58

58479951192 has 128 divisors (see below), whose sum is σ = 166122700800. Its totient is φ = 17006671872.

The previous prime is 58479951181. The next prime is 58479951197. The reversal of 58479951192 is 29115997485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58479951197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555433 + ... + 2578215.

It is an arithmetic number, because the mean of its divisors is an integer number (1297833600).

Almost surely, 258479951192 is an apocalyptic number.

58479951192 is a gapful number since it is divisible by the number (52) 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 58479951192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83061350400).

58479951192 is an abundant number, since it is smaller than the sum of its proper divisors (107642749608).

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

58479951192 is a wasteful number, since it uses less digits than its factorization.

58479951192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23253 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 60.

The spelling of 58479951192 in words is "fifty-eight billion, four hundred seventy-nine million, nine hundred fifty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 433 456 494 741 866 988 1299 1482 1732 1976 2598 2964 3464 5196 5629 5928 8227 10392 11258 16454 16887 22516 22783 24681 32908 33774 45032 45566 49362 65816 67548 68349 91132 98724 106951 135096 136698 182264 197448 213902 273396 296179 320853 427804 432877 546792 592358 641706 855608 865754 888537 1184716 1283412 1298631 1731508 1777074 2369432 2566824 2597262 3463016 3554148 5194524 5627401 7108296 9865039 10389048 11254802 16882203 19730078 22509604 29595117 33764406 39460156 45019208 59190234 67528812 78920312 118380468 128245507 135057624 187435741 236760936 256491014 374871482 384736521 512982028 562307223 749742964 769473042 1025964056 1124614446 1499485928 1538946084 2249228892 2436664633 3077892168 4498457784 4873329266 7309993899 9746658532 14619987798 19493317064 29239975596 58479951192