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12271153968 = 24353156161
BaseRepresentation
bin10110110110110101…
…01111001100110000
31011200012100012200000
423123122233030300
5200112403411333
65345353230000
7613043042043
oct133332571460
934605305600
1012271153968
115227823667
122465702300
1312073a2968
14845a42c5a
154bc482713
hex2db6af330

12271153968 has 60 divisors (see below), whose sum is σ = 35614132008. Its totient is φ = 4090383360.

The previous prime is 12271153919. The next prime is 12271153991. The reversal of 12271153968 is 86935117221.

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 11 ways as a sum of consecutive naturals, for example, 1574193 + ... + 1581968.

Almost surely, 212271153968 is an apocalyptic number.

12271153968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12271153968 is an abundant number, since it is smaller than the sum of its proper divisors (23342978040).

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

12271153968 is an equidigital number, since it uses as much as digits as its factorization.

12271153968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156184 (or 3156166 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 12271153968 in words is "twelve billion, two hundred seventy-one million, one hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 3156161 6312322 9468483 12624644 18936966 25249288 28405449 37873932 50498576 56810898 75747864 85216347 113621796 151495728 170432694 227243592 255649041 340865388 454487184 511298082 681730776 766947123 1022596164 1363461552 1533894246 2045192328 3067788492 4090384656 6135576984 12271153968