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93105320076 = 22341938892
BaseRepresentation
bin101011010110110000…
…0100111000010001100
322220022200002022110000
41112231200213002030
53011134430220301
6110434430044300
76504144106566
oct1265540470214
9286280068400
1093105320076
113653858701a
1216064949690
138a1a290992
1447134bc336
15264dcc6786
hex15ad82708c

93105320076 has 90 divisors (see below), whose sum is σ = 256271894340. Its totient is φ = 29394119808.

The previous prime is 93105320069. The next prime is 93105320083. The reversal of 93105320076 is 67002350139.

It is an interprime number because it is at equal distance from previous prime (93105320069) and next prime (93105320083).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 93105320076.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23938740 + ... + 23942628.

Almost surely, 293105320076 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 93105320076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128135947170).

93105320076 is an abundant number, since it is smaller than the sum of its proper divisors (163166574264).

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

93105320076 is an equidigital number, since it uses as much as digits as its factorization.

93105320076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 93105320076 in words is "ninety-three billion, one hundred five million, three hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 3889 6156 7778 11667 15556 23334 35001 46668 70002 73891 105003 140004 147782 210006 221673 295564 315009 420012 443346 630018 665019 886692 1260036 1330038 1995057 2660076 3990114 5985171 7980228 11970342 15124321 23940684 30248642 45372963 60497284 90745926 136118889 181491852 272237778 287362099 408356667 544475556 574724198 816713334 862086297 1149448396 1225070001 1633426668 1724172594 2450140002 2586258891 3448345188 4900280004 5172517782 7758776673 10345035564 15517553346 23276330019 31035106692 46552660038 93105320076