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4332105141497 = 71979607691983
BaseRepresentation
bin111111000010100101100…
…101101000110011111001
3120100010220212002220021222
4333002211211220303321
51031434122404011442
613114050331441425
7624661414064210
oct77024545506371
916303825086258
104332105141497
111420265461961
1259b7112b6275
1325569218a593
1410d964314077
1577a4bec38d2
hex3f0a5968cf9

4332105141497 has 64 divisors (see below), whose sum is σ = 5299254067200. Its totient is φ = 3459007955520.

The previous prime is 4332105141461. The next prime is 4332105141509. The reversal of 4332105141497 is 7941415012334.

It is a cyclic number.

It is not a de Polignac number, because 4332105141497 - 212 = 4332105137401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4332105141407) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4407024068 + ... + 4407025050.

It is an arithmetic number, because the mean of its divisors is an integer number (82800844800).

Almost surely, 24332105141497 is an apocalyptic number.

It is an amenable number.

4332105141497 is a deficient number, since it is larger than the sum of its proper divisors (967148925703).

4332105141497 is a wasteful number, since it uses less digits than its factorization.

4332105141497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 4332105141497 in words is "four trillion, three hundred thirty-two billion, one hundred five million, one hundred forty-one thousand, four hundred ninety-seven".

Divisors: 1 7 19 79 133 553 607 691 983 1501 4249 4837 6881 10507 11533 13129 18677 47953 54589 77657 80731 91903 130739 335671 382123 419437 543599 596681 679253 911107 1037191 1475483 2936059 4176767 4754771 6377749 7260337 7969303 10328381 11336939 12905807 33135523 47137799 53660987 55785121 79358573 90340649 231948661 329964593 375626909 412306571 629574937 895618181 1019558753 2886145997 4407024559 6269327267 7136911271 7833824849 32572219109 54836773943 228005533763 618872163071 4332105141497