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10830346542 = 234233286927
BaseRepresentation
bin10100001011000100…
…11111100100101110
31000221210012121110000
422011202133210232
5134140032042132
64550403525130
7532246266231
oct120542374456
930853177400
1010830346542
1146584a2724
1221230897a6
131037a36ca2
1474a54b418
15435c2b87c
hex28589f92e

10830346542 has 40 divisors (see below), whose sum is σ = 24372238176. Its totient is φ = 3594608928.

The previous prime is 10830346481. The next prime is 10830346547. The reversal of 10830346542 is 24564303801.

10830346542 is a `hidden beast` number, since 1 + 0 + 83 + 0 + 34 + 6 + 542 = 666.

10830346542 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108303465422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10830346497 and 10830346506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830346547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105718 + ... + 181209.

Almost surely, 210830346542 is an apocalyptic number.

10830346542 is an abundant number, since it is smaller than the sum of its proper divisors (13541891634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10830346542 is a wasteful number, since it uses less digits than its factorization.

10830346542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287174 (or 287165 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10830346542 in words is "ten billion, eight hundred thirty million, three hundred forty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 699 1398 2097 4194 6291 12582 18873 37746 286927 573854 860781 1721562 2582343 5164686 7747029 15494058 23241087 46482174 66853991 133707982 200561973 401123946 601685919 1203371838 1805057757 3610115514 5415173271 10830346542