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1375144507605 = 3511235344915227
BaseRepresentation
bin10100000000101100111…
…111111111100011010101
311212110111011222221211110
4110000230333333203111
5140012243443220410
62531422131125233
7201231235311441
oct24005477774325
94773434887743
101375144507605
11490217251a40
121a2619143819
139c8a22c861b
144a7b351b821
1525b85ed4720
hex1402cfff8d5

1375144507605 has 128 divisors (see below), whose sum is σ = 2557719244800. Its totient is φ = 624280616960.

The previous prime is 1375144507591. The next prime is 1375144507621. The reversal of 1375144507605 is 5067054415731.

It is not a de Polignac number, because 1375144507605 - 217 = 1375144376533 is a prime.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 90302002 + ... + 90317228.

It is an arithmetic number, because the mean of its divisors is an integer number (19982181600).

Almost surely, 21375144507605 is an apocalyptic number.

1375144507605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1375144507605 is a deficient number, since it is larger than the sum of its proper divisors (1182574737195).

1375144507605 is a wasteful number, since it uses less digits than its factorization.

1375144507605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 1375144507605 in words is "one trillion, three hundred seventy-five billion, one hundred forty-four million, five hundred seven thousand, six hundred five".

Divisors: 1 3 5 11 15 23 33 53 55 69 115 159 165 253 265 345 449 583 759 795 1219 1265 1347 1749 2245 2915 3657 3795 4939 6095 6735 8745 10327 13409 14817 15227 18285 23797 24695 30981 40227 45681 51635 67045 71391 74085 76135 113597 118985 154905 167497 201135 228405 261767 340791 350221 356955 502491 547331 567985 785301 807031 837485 1050663 1308835 1641993 1703955 1751105 2421093 2512455 2736655 3852431 3926505 4035155 5253315 6020641 6836923 8209965 8877341 11557293 12105465 18061923 18561713 19262155 20510769 26632023 30103205 34184615 44386705 55685139 57786465 75206153 90309615 92808565 102553845 133160115 157249229 204178843 225618459 278425695 362356919 376030765 471747687 612536529 786246145 1020894215 1087070757 1128092295 1729741519 1811784595 2358738435 3062682645 3985926109 5189224557 5435353785 8334209137 8648707595 11957778327 19929630545 25002627411 25946122785 41671045685 59788891635 91676300507 125013137055 275028901521 458381502535 1375144507605