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148120184374785 = 32572320444469893
BaseRepresentation
bin100001101011011011101010…
…111110010100011000000001
3201102110011002022201202121200
4201223123222332110120001
5123403300114144443120
61243005250123211413
743125221151446460
oct4153335276243001
9642404068652550
10148120184374785
114321746565a057
1214742826076b69
13648589a76510c
1428810ab5889d7
15121ce2c6c6e90
hex86b6eaf94601

148120184374785 has 48 divisors (see below), whose sum is σ = 306176381132544. Its totient is φ = 64768080617856.

The previous prime is 148120184374777. The next prime is 148120184374891. The reversal of 148120184374785 is 587473481021841.

It is a happy number.

148120184374785 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 2 + 0 + 184 + 374 + 7 + 85 = 666.

It is not a de Polignac number, because 148120184374785 - 23 = 148120184374777 is a prime.

It is a super-2 number, since 2×1481201843747852 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10222227702 + ... + 10222242191.

It is an arithmetic number, because the mean of its divisors is an integer number (6378674606928).

Almost surely, 2148120184374785 is an apocalyptic number.

148120184374785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148120184374785 is an abundant number, since it is smaller than the sum of its proper divisors (158056196757759).

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

148120184374785 is a wasteful number, since it uses less digits than its factorization.

148120184374785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444469934 (or 20444469931 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 148120184374785 in words is "one hundred forty-eight trillion, one hundred twenty billion, one hundred eighty-four million, three hundred seventy-four thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 20444469893 61333409679 102222349465 143111289251 184000229037 306667048395 429333867753 470222807539 715556446255 920001145185 1288001603259 1410668422617 2146669338765 2351114037695 3291559652773 4232005267851 6440008016295 7053342113085 9874678958319 16457798263865 21160026339255 29624036874957 49373394791595 148120184374785