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10830181577116 = 22113128328056593
BaseRepresentation
bin1001110110011001100100…
…1000000011000110011100
31102100100120222022222011111
42131212121020003012130
52404420202440431431
635011152225231404
72165311665332446
oct235463110030634
942310528288144
1010830181577116
1134a6066181380
12126ab65a92564
13607387ca3965
1429627da87496
1513bab7c797b1
hex9d99920319c

10830181577116 has 48 divisors (see below), whose sum is σ = 21418179406848. Its totient is φ = 4747175366400.

The previous prime is 10830181577113. The next prime is 10830181577161. The reversal of 10830181577116 is 61177518103801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10830181577116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830181577113) 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, 13642285 + ... + 14414308.

It is an arithmetic number, because the mean of its divisors is an integer number (446212070976).

Almost surely, 210830181577116 is an apocalyptic number.

It is an amenable number.

10830181577116 is a deficient number, since it is larger than the sum of its proper divisors (10587997829732).

10830181577116 is a wasteful number, since it uses less digits than its factorization.

10830181577116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28056922 (or 28056920 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 49.

The spelling of 10830181577116 in words is "ten trillion, eight hundred thirty billion, one hundred eighty-one million, five hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 31 44 62 124 283 341 566 682 1132 1364 3113 6226 8773 12452 17546 35092 96503 193006 386012 28056593 56113186 112226372 308622523 617245046 869754383 1234490092 1739508766 3479017532 7940015819 9567298213 15880031638 19134596426 31760063276 38269192852 87340174009 174680348018 246140490389 349360696036 492280980778 984561961556 2707545394279 5415090788558 10830181577116