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4431335509797 = 374729391527629
BaseRepresentation
bin100000001111100000000…
…1011011100111100100101
3120200122001101112220022220
41000133000023130330211
51040100333342303142
613231421042542553
7635103424230420
oct100370013347445
916618041486286
104431335509797
1114593564092a9
125b69a5367a59
13261b473ba941
141146990729b7
157a4088842ec
hex407c02dcf25

4431335509797 has 32 divisors (see below), whose sum is σ = 6898532659200. Its totient is φ = 2477470427328.

The previous prime is 4431335509787. The next prime is 4431335509801. The reversal of 4431335509797 is 7979055331344.

It is not a de Polignac number, because 4431335509797 - 27 = 4431335509669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4431335509797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431335509717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136979 + ... + 3664607.

It is an arithmetic number, because the mean of its divisors is an integer number (215579145600).

Almost surely, 24431335509797 is an apocalyptic number.

4431335509797 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4431335509797 is a deficient number, since it is larger than the sum of its proper divisors (2467197149403).

4431335509797 is a wasteful number, since it uses less digits than its factorization.

4431335509797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530625.

The product of its (nonzero) digits is 42865200, while the sum is 60.

The spelling of 4431335509797 in words is "four trillion, four hundred thirty-one billion, three hundred thirty-five million, five hundred nine thousand, seven hundred ninety-seven".

Divisors: 1 3 7 21 47 141 329 987 2939 8817 20573 61719 138133 414399 966931 1527629 2900793 4582887 10693403 32080209 71798563 215395689 502589941 1507769823 4489701631 13469104893 31427911417 94283734251 211015976657 633047929971 1477111836599 4431335509797