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332164240105 = 510346110191373
BaseRepresentation
bin1001101010101101000…
…10000001001011101001
31011202101002121201102011
410311112202001023221
520420233021140410
6412332200235521
732666224312165
oct4652642011351
91152332551364
10332164240105
11118963065a15
125446116bba1
13254276b4749
1412110b99ca5
1589912de18a
hex4d568812e9

332164240105 has 32 divisors (see below), whose sum is σ = 404029866240. Its totient is φ = 262131905280.

The previous prime is 332164240087. The next prime is 332164240147. The reversal of 332164240105 is 501042461233.

It is not a de Polignac number, because 332164240105 - 29 = 332164239593 is a prime.

It is a super-2 number, since 2×3321642401052 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 241925199 + ... + 241926571.

It is an arithmetic number, because the mean of its divisors is an integer number (12625933320).

Almost surely, 2332164240105 is an apocalyptic number.

It is an amenable number.

332164240105 is a deficient number, since it is larger than the sum of its proper divisors (71865626135).

332164240105 is a wasteful number, since it uses less digits than its factorization.

332164240105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 332164240105 in words is "three hundred thirty-two billion, one hundred sixty-four million, two hundred forty thousand, one hundred five".

Divisors: 1 5 103 461 515 1019 1373 2305 5095 6865 47483 104957 141419 237415 469759 524785 632953 707095 1399087 2348795 3164765 6995435 48385177 65194159 144105961 241925885 325970795 644979107 720529805 3224895535 66432848021 332164240105