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91211011146 = 2341929633207
BaseRepresentation
bin101010011110010011…
…0011001010001001010
322201102122121110010000
41110330212121101022
52443300004324041
6105522440303430
76406202542203
oct1247446312112
9281378543100
1091211011146
1135756268752
1215816471b76
1387a79a0618
1445b3a965aa
15258c83ebb6
hex153c99944a

91211011146 has 40 divisors (see below), whose sum is σ = 215137090080. Its totient is φ = 28803476232.

The previous prime is 91211011141. The next prime is 91211011147. The reversal of 91211011146 is 64111011219.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91211011141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14813526 + ... + 14819681.

It is an arithmetic number, because the mean of its divisors is an integer number (5378427252).

Almost surely, 291211011146 is an apocalyptic number.

91211011146 is an abundant number, since it is smaller than the sum of its proper divisors (123926078934).

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

91211011146 is a wasteful number, since it uses less digits than its factorization.

91211011146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29633240 (or 29633231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 91211011146 in words is "ninety-one billion, two hundred eleven million, eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 29633207 59266414 88899621 177799242 266698863 533397726 563030933 800096589 1126061866 1600193178 1689092799 2400289767 3378185598 4800579534 5067278397 10134556794 15201835191 30403670382 45605505573 91211011146