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869379756754401 = 34231289033620209
BaseRepresentation
bin1100010110101100100011111…
…1100100111000010111100001
311020000012220010001001112010000
43011223020333210320113201
51402422404220212120101
612321003314024130213
7351056420553625164
oct30553107744702741
94200186101045100
10869379756754401
11232013980005882
128160b755606969
132b41420bc51169
14114982c1b4dadb
156a79868b1b486
hex316b23f9385e1

869379756754401 has 40 divisors (see below), whose sum is σ = 1355179332735360. Its totient is φ = 554382637319808.

The previous prime is 869379756754357. The next prime is 869379756754417. The reversal of 869379756754401 is 104457657973968.

869379756754401 is a `hidden beast` number, since 8 + 6 + 9 + 3 + 7 + 9 + 7 + 5 + 67 + 544 + 0 + 1 = 666.

It is not a de Polignac number, because 869379756754401 - 222 = 869379752560097 is a prime.

It is a super-2 number, since 2×8693797567544012 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (869379756754451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238336185 + ... + 241956393.

It is an arithmetic number, because the mean of its divisors is an integer number (33879483318384).

Almost surely, 2869379756754401 is an apocalyptic number.

869379756754401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

869379756754401 is a deficient number, since it is larger than the sum of its proper divisors (485799575980959).

869379756754401 is a wasteful number, since it uses less digits than its factorization.

869379756754401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749147 (or 3749138 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 81.

The spelling of 869379756754401 in words is "eight hundred sixty-nine trillion, three hundred seventy-nine billion, seven hundred fifty-six million, seven hundred fifty-four thousand, four hundred one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 128903 386709 1160127 2964769 3480381 3620209 8894307 10441143 10860627 26682921 32581881 80048763 83264807 97745643 240146289 249794421 293236929 749383263 2248149789 6744449367 466655800727 1399967402181 4199902206543 10733083416721 12599706619629 32199250250163 37799119858887 96597750750489 289793252251467 869379756754401