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58345642376 = 23731277121333
BaseRepresentation
bin110110010101101010…
…111101100110001000
312120121012121201201122
4312111222331212020
51423442441024001
642445325334412
74133600530430
oct662552754610
9176535551648
1058345642376
112282065975a
12b383a07408
13566aaa1758
142b76c8d2c0
1517b73b7b1b
hexd95abd988

58345642376 has 64 divisors (see below), whose sum is σ = 129526471680. Its totient is φ = 24111095040.

The previous prime is 58345642367. The next prime is 58345642423. The reversal of 58345642376 is 67324654385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420206 + ... + 541538.

It is an arithmetic number, because the mean of its divisors is an integer number (2023851120).

Almost surely, 258345642376 is an apocalyptic number.

58345642376 is a gapful number since it is divisible by the number (56) 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 58345642376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64763235840).

58345642376 is an abundant number, since it is smaller than the sum of its proper divisors (71180829304).

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

58345642376 is a wasteful number, since it uses less digits than its factorization.

58345642376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121654 (or 121650 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 53.

The spelling of 58345642376 in words is "fifty-eight billion, three hundred forty-five million, six hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 277 434 554 868 1108 1736 1939 2216 3878 7756 8587 15512 17174 34348 60109 68696 120218 121333 240436 242666 480872 485332 849331 970664 1698662 3397324 3761323 6794648 7522646 15045292 26329261 30090584 33609241 52658522 67218482 105317044 134436964 210634088 235264687 268873928 470529374 941058748 1041886471 1882117496 2083772942 4167545884 7293205297 8335091768 14586410594 29172821188 58345642376