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58921016352 = 25311296918793
BaseRepresentation
bin110110110111111101…
…110101110000100000
312122002022021202102220
4312313331311300200
51431132240010402
643022401511040
74154055242532
oct666775656040
9178068252386
1058921016352
1122a96417740
12b504642480
135730057423
142bcd465852
1517ecb6ddbc
hexdb7f75c20

58921016352 has 96 divisors (see below), whose sum is σ = 168794176320. Its totient is φ = 17847889920.

The previous prime is 58921016303. The next prime is 58921016359. The reversal of 58921016352 is 25361012985.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (58921016359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3125868 + ... + 3144660.

It is an arithmetic number, because the mean of its divisors is an integer number (1758272670).

Almost surely, 258921016352 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 58921016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84397088160).

58921016352 is an abundant number, since it is smaller than the sum of its proper divisors (109873159968).

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

58921016352 is a wasteful number, since it uses less digits than its factorization.

58921016352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21786 (or 21778 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 58921016352 in words is "fifty-eight billion, nine hundred twenty-one million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2969 5938 8907 11876 17814 18793 23752 32659 35628 37586 47504 56379 65318 71256 75172 95008 97977 112758 130636 142512 150344 195954 206723 225516 261272 285024 300688 391908 413446 451032 522544 601376 620169 783816 826892 902064 1045088 1240338 1567632 1653784 1804128 2480676 3135264 3307568 4961352 6615136 9922704 19845408 55796417 111592834 167389251 223185668 334778502 446371336 613760587 669557004 892742672 1227521174 1339114008 1785485344 1841281761 2455042348 2678228016 3682563522 4910084696 5356456032 7365127044 9820169392 14730254088 19640338784 29460508176 58921016352