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10093714293 = 313376994951
BaseRepresentation
bin10010110011010000…
…11101101101110101
3222001110002210222010
421121220131231311
5131132442324133
64345331154433
7505063104315
oct113150355565
928043083863
1010093714293
11430a702a43
121b58445a19
13c4b23cc10
146ba799445
153e1220263
hex259a1db75

10093714293 has 16 divisors (see below), whose sum is σ = 14885257856. Its totient is φ = 6043636800.

The previous prime is 10093714259. The next prime is 10093714331. The reversal of 10093714293 is 39241739001.

It is not a de Polignac number, because 10093714293 - 26 = 10093714229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093714993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496033 + ... + 3498918.

It is an arithmetic number, because the mean of its divisors is an integer number (930328616).

Almost surely, 210093714293 is an apocalyptic number.

10093714293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10093714293 is a deficient number, since it is larger than the sum of its proper divisors (4791543563).

10093714293 is a wasteful number, since it uses less digits than its factorization.

10093714293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995004.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 10093714293 in words is "ten billion, ninety-three million, seven hundred fourteen thousand, two hundred ninety-three".

Divisors: 1 3 13 37 39 111 481 1443 6994951 20984853 90934363 258813187 272803089 776439561 3364571431 10093714293