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1074077124417 = 321142152149463
BaseRepresentation
bin11111010000100111111…
…11000100011101000001
310210200101021121020121200
433220103333010131001
5120044202220440132
62141231344211413
7140412426630543
oct17502377043501
93720337536550
101074077124417
11384571598980
121541b6309b69
137a3922c913b
1439db272b693
151ce14c83d7c
hexfa13fc4741

1074077124417 has 48 divisors (see below), whose sum is σ = 1699795933056. Its totient is φ = 648150048000.

The previous prime is 1074077124403. The next prime is 1074077124443. The reversal of 1074077124417 is 7144217704701.

1074077124417 is a `hidden beast` number, since 1 + 0 + 7 + 40 + 77 + 124 + 417 = 666.

It is not a de Polignac number, because 1074077124417 - 28 = 1074077124161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1074077124217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21690028 + ... + 21739490.

It is an arithmetic number, because the mean of its divisors is an integer number (35412415272).

Almost surely, 21074077124417 is an apocalyptic number.

It is an amenable number.

1074077124417 is a deficient number, since it is larger than the sum of its proper divisors (625718808639).

1074077124417 is a wasteful number, since it uses less digits than its factorization.

1074077124417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50422 (or 50419 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 1074077124417 in words is "one trillion, seventy-four billion, seventy-seven million, one hundred twenty-four thousand, four hundred seventeen".

Divisors: 1 3 9 11 33 99 421 521 1263 1563 3789 4631 4689 5731 13893 17193 41679 49463 51579 148389 219341 445167 544093 658023 1632279 1974069 2412751 4896837 7238253 20823923 21714759 25770223 62471769 77310669 187415307 229063153 231932007 283472453 687189459 850417359 2061568377 2551252077 10849263883 32547791649 97643374947 119341902713 358025708139 1074077124417