Search a number
-
+
58121446488 = 23372833673331
BaseRepresentation
bin110110001000010011…
…101110010001011000
312120000120202101210020
4312020103232101120
51423013042241423
642411200150440
74125206100210
oct661023562130
9176016671706
1058121446488
112271604aaa6
12b320908420
1356334c5271
142b551ad240
1517a287e4e3
hexd884ee458

58121446488 has 128 divisors (see below), whose sum is σ = 167152312320. Its totient is φ = 16497406080.

The previous prime is 58121446469. The next prime is 58121446531. The reversal of 58121446488 is 88464412185.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58121446488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17446983 + ... + 17450313.

It is an arithmetic number, because the mean of its divisors is an integer number (1305877440).

Almost surely, 258121446488 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 58121446488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83576156160).

58121446488 is an abundant number, since it is smaller than the sum of its proper divisors (109030865832).

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

58121446488 is a wasteful number, since it uses less digits than its factorization.

58121446488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3993 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 58121446488 in words is "fifty-eight billion, one hundred twenty-one million, four hundred forty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 367 566 734 849 1101 1132 1468 1698 1981 2202 2264 2569 2936 3331 3396 3962 4404 5138 5943 6662 6792 7707 7924 8808 9993 10276 11886 13324 15414 15848 19986 20552 23317 23772 26648 30828 39972 46634 47544 61656 69951 79944 93268 103861 139902 186536 207722 279804 311583 415444 559608 623166 727027 830888 942673 1222477 1246332 1454054 1885346 2181081 2444954 2492664 2828019 2908108 3667431 3770692 4362162 4889908 5656038 5816216 6598711 7334862 7541384 8557339 8724324 9779816 11312076 13197422 14669724 17114678 17448648 19796133 22624152 25672017 26394844 29339448 34229356 39592266 51344034 52789688 68458712 79184532 102688068 158369064 205376136 345960991 691921982 1037882973 1383843964 2075765946 2421726937 2767687928 4151531892 4843453874 7265180811 8303063784 9686907748 14530361622 19373815496 29060723244 58121446488