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923405346953 = 37416189112121
BaseRepresentation
bin11010110111111110011…
…11110110100010001001
310021021110201001220022022
431123333033312202021
5110112113232100303
61544112341134225
7123466562641445
oct15337717664211
93237421056268
10923405346953
11326683277441
1212ab666ba375
13690cc80c52b
143299ba6b825
1519047209438
hexd6ff3f6889

923405346953 has 32 divisors (see below), whose sum is σ = 998522652960. Its totient is φ = 852470784000.

The previous prime is 923405346943. The next prime is 923405346971. The reversal of 923405346953 is 359643504329.

It can be written as a sum of positive squares in 16 ways, for example, as 804747143929 + 118658203024 = 897077^2 + 344468^2 .

It is a cyclic number.

It is not a de Polignac number, because 923405346953 - 226 = 923338238089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 923405346895 and 923405346904.

It is not an unprimeable number, because it can be changed into a prime (923405346943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8179733 + ... + 8291853.

It is an arithmetic number, because the mean of its divisors is an integer number (31203832905).

Almost surely, 2923405346953 is an apocalyptic number.

It is an amenable number.

923405346953 is a deficient number, since it is larger than the sum of its proper divisors (75117306007).

923405346953 is a wasteful number, since it uses less digits than its factorization.

923405346953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112349.

The product of its (nonzero) digits is 10497600, while the sum is 53.

The spelling of 923405346953 in words is "nine hundred twenty-three billion, four hundred five million, three hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 37 41 61 89 1517 2257 2501 3293 3649 5429 92537 112121 135013 200873 222589 4148477 4596961 6839381 8235793 9978769 170087557 253057097 280414621 369214453 409129529 608704909 10375340977 15137792573 22522081633 24956901269 923405346953