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93898055089839 = 37111322405237201
BaseRepresentation
bin10101010110011001011000…
…001101111111111010101111
3110022110120021220102221222010
4111112121120031333322233
544301411204100333324
6531412100534252303
725530624224164410
oct2526313015777257
9408416256387863
1093898055089839
1127a11a3a1a9960
12a6460a47b7093
13405171937a400
141928993967807
15acc7859bc829
hex55665837feaf

93898055089839 has 48 divisors (see below), whose sum is σ = 169020828658944. Its totient is φ = 45026040384000.

The previous prime is 93898055089823. The next prime is 93898055089847.

93898055089839 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 93898055089839 - 24 = 93898055089823 is a prime.

It is a super-2 number, since 2×938980550898392 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93898055089039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202579562 + ... + 1202657639.

It is an arithmetic number, because the mean of its divisors is an integer number (3521267263728).

Almost surely, 293898055089839 is an apocalyptic number.

93898055089839 is a deficient number, since it is larger than the sum of its proper divisors (75122773569105).

93898055089839 is a wasteful number, since it uses less digits than its factorization.

93898055089839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405237248 (or 2405237235 counting only the distinct ones).

The product of its (nonzero) digits is 6046617600, while the sum is 84.

The spelling of 93898055089839 in words is "ninety-three trillion, eight hundred ninety-eight billion, fifty-five million, eighty-nine thousand, eight hundred thirty-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 2405237201 7215711603 16836660407 26457609211 31268083613 50509981221 79372827633 93804250839 185203264477 218876585291 343948919743 406485086969 555609793431 656629755873 1031846759229 1219455260907 2407642438201 2845395608783 4471335956659 7222927314603 8536186826349 13414007869977 31299351696613 93898055089839