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404216341626601 = 7475337936111661
BaseRepresentation
bin101101111101000011111001…
…1011101000111111011101001
31222000012201000211220010222001
41123322013303131013323221
5410440140031424022401
63551410231312531001
7151066444523263630
oct13372076335077351
91860181024803861
10404216341626601
11107883207a4a399
1239403a02b50a61
131447158c13269a
1471b6265128517
1531ae8dc036601
hex16fa1f3747ee9

404216341626601 has 32 divisors (see below), whose sum is σ = 480819019742208. Its totient is φ = 332613552061440.

The previous prime is 404216341626499. The next prime is 404216341626611. The reversal of 404216341626601 is 106626143612404.

It is a cyclic number.

It is not a de Polignac number, because 404216341626601 - 211 = 404216341624553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404216341626611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63082711 + ... + 69194371.

It is an arithmetic number, because the mean of its divisors is an integer number (15025594366944).

Almost surely, 2404216341626601 is an apocalyptic number.

It is an amenable number.

404216341626601 is a deficient number, since it is larger than the sum of its proper divisors (76602678115607).

404216341626601 is a wasteful number, since it uses less digits than its factorization.

404216341626601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115561.

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 404216341626601 in words is "four hundred four trillion, two hundred sixteen billion, three hundred forty-one million, six hundred twenty-six thousand, six hundred one".

Divisors: 1 7 47 53 329 371 2491 3793 17437 26551 178271 201029 1247897 1407203 6111661 9448363 42781627 66138541 287248067 323918033 2010736469 2267426231 15224147551 23181530173 106569032857 162270711211 1089531918131 1228621099169 7626723426917 8600347694183 57745191660943 404216341626601