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122991149745 = 32525712598447
BaseRepresentation
bin111001010001011011…
…0000000001010110001
3102202110110112202120100
41302202312000022301
54003341213242440
6132300143103013
711612556344412
oct1624266001261
9382413482510
10122991149745
1148184330202
121ba055a1a69
13b7a0ac0469
145d4a6c7809
1532ec89c230
hex1ca2d802b1

122991149745 has 48 divisors (see below), whose sum is σ = 214209515520. Its totient is φ = 65280417792.

The previous prime is 122991149717. The next prime is 122991149779. The reversal of 122991149745 is 547941199221.

122991149745 is a `hidden beast` number, since 1 + 2 + 29 + 91 + 1 + 497 + 45 = 666.

It is not a de Polignac number, because 122991149745 - 25 = 122991149713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122991149691 and 122991149700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14556112 + ... + 14564558.

It is an arithmetic number, because the mean of its divisors is an integer number (4462698240).

Almost surely, 2122991149745 is an apocalyptic number.

122991149745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122991149745 is a deficient number, since it is larger than the sum of its proper divisors (91218365775).

122991149745 is a wasteful number, since it uses less digits than its factorization.

122991149745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9971 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 122991149745 in words is "one hundred twenty-two billion, nine hundred ninety-one million, one hundred forty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 257 771 1259 1285 2313 3777 3855 6295 8447 11331 11565 18885 25341 42235 56655 76023 126705 323563 380115 970689 1617815 2170879 2912067 4853445 6512637 10634773 10854395 14560335 19537911 31904319 32563185 53173865 95712957 97689555 159521595 478564785 2733136661 8199409983 13665683305 24598229949 40997049915 122991149745