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105326958958 = 213291491974759
BaseRepresentation
bin110001000010111111…
…0011101100101101110
3101001212102020220011221
41202011332131211232
53211202200141313
6120215254133554
710416046244044
oct1420576354556
9331772226157
10105326958958
114073a360221
12184b59512ba
139c17317b70
145152712394
152b16c27c8d
hex1885f9d96e

105326958958 has 64 divisors (see below), whose sum is σ = 178128720000. Its totient is φ = 46374741504.

The previous prime is 105326958937. The next prime is 105326958959. The reversal of 105326958958 is 859859623501.

105326958958 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053269589582 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105326958896 and 105326958905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105326958959) 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, 22129783 + ... + 22134541.

It is an arithmetic number, because the mean of its divisors is an integer number (2783261250).

Almost surely, 2105326958958 is an apocalyptic number.

105326958958 is a deficient number, since it is larger than the sum of its proper divisors (72801761042).

105326958958 is a wasteful number, since it uses less digits than its factorization.

105326958958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149.

The product of its (nonzero) digits is 23328000, while the sum is 61.

The spelling of 105326958958 in words is "one hundred five billion, three hundred twenty-six million, nine hundred fifty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 13 26 29 58 149 197 298 377 394 754 1937 2561 3874 4321 4759 5122 5713 8642 9518 11426 29353 56173 58706 61867 74269 112346 123734 138011 148538 276022 381589 709091 763178 851237 937523 1418182 1702474 1794143 1875046 3588286 9218183 11066081 12187799 18436366 20563639 22132162 24375598 27188167 41127278 54376334 139690927 267327307 279381854 353446171 534654614 706892342 1815982051 3631964102 4051036883 8102073766 52663479479 105326958958