Search a number
-
+
58298297232 = 2437238963719
BaseRepresentation
bin110110010010110110…
…010110101110010000
312120110220112100101210
4312102312112232100
51423343331002412
642440514500120
74132454231100
oct662266265620
9176426470353
1058298297232
11227a696163a
12b36bb94640
135661035886
142b70887200
1517b316483c
hexd92d96b90

58298297232 has 120 divisors (see below), whose sum is σ = 175645454400. Its totient is φ = 16613576448.

The previous prime is 58298297207. The next prime is 58298297237. The reversal of 58298297232 is 23279289285.

58298297232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58298297237) 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, 883069 + ... + 946787.

It is an arithmetic number, because the mean of its divisors is an integer number (1463712120).

Almost surely, 258298297232 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 58298297232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87822727200).

58298297232 is an abundant number, since it is smaller than the sum of its proper divisors (117347157168).

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

58298297232 is a wasteful number, since it uses less digits than its factorization.

58298297232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64133 (or 64120 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 58298297232 in words is "fifty-eight billion, two hundred ninety-eight million, two hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 389 392 588 778 784 1167 1176 1556 2334 2352 2723 3112 4668 5446 6224 8169 9336 10892 16338 18672 19061 21784 32676 38122 43568 57183 63719 65352 76244 114366 127438 130704 152488 191157 228732 254876 304976 382314 446033 457464 509752 764628 892066 914928 1019504 1338099 1529256 1784132 2676198 3058512 3122231 3568264 5352396 6244462 7136528 9366693 10704792 12488924 18733386 21409584 24786691 24977848 37466772 49573382 49955696 74360073 74933544 99146764 148720146 149867088 173506837 198293528 297440292 347013674 396587056 520520511 594880584 694027348 1041041022 1189761168 1214547859 1388054696 2082082044 2429095718 2776109392 3643643577 4164164088 4858191436 7287287154 8328328176 9716382872 14574574308 19432765744 29149148616 58298297232