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91830122568 = 23327125032
BaseRepresentation
bin101010110000110000…
…0000111100001001000
322210000210120120022200
41111201200013201020
53001032002410233
6110104114120200
76430431106602
oct1254140074110
9283023516280
1091830122568
1135a4378a288
1215969880060
13887602b042
144631db6172
1525c6d85313
hex1561807848

91830122568 has 108 divisors (see below), whose sum is σ = 252761333955. Its totient is φ = 30118915680.

The previous prime is 91830122563. The next prime is 91830122581. The reversal of 91830122568 is 86522103819.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

91830122568 is a `hidden beast` number, since 9 + 1 + 83 + 0 + 1 + 2 + 2 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45915061284 + 45915061284 = 214278^2 + 214278^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=214278.

It is not an unprimeable number, because it can be changed into a prime (91830122563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182564605 + ... + 182565107.

Almost surely, 291830122568 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 91830122568

91830122568 is an abundant number, since it is smaller than the sum of its proper divisors (160931211387).

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

91830122568 is an equidigital number, since it uses as much as digits as its factorization.

91830122568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 91830122568 in words is "ninety-one billion, eight hundred thirty million, one hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 503 568 639 852 1006 1278 1509 1704 2012 2556 3018 4024 4527 5041 5112 6036 9054 10082 12072 15123 18108 20164 30246 35713 36216 40328 45369 60492 71426 90738 107139 120984 142852 181476 214278 253009 285704 321417 362952 428556 506018 642834 759027 857112 1012036 1285668 1518054 2024072 2277081 2535623 2571336 3036108 4554162 5071246 6072216 7606869 9108324 10142492 15213738 17963639 18216648 20284984 22820607 30427476 35927278 45641214 53890917 60854952 71854556 91282428 107781834 143709112 161672751 182564856 215563668 323345502 431127336 646691004 1275418369 1293382008 2550836738 3826255107 5101673476 7652510214 10203346952 11478765321 15305020428 22957530642 30610040856 45915061284 91830122568