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10642158432169 = 1141101634336833
BaseRepresentation
bin1001101011011101001000…
…0100101010111110101001
31101200101021022121120010021
42122313102010222332221
52343330120024312134
634344535020520441
72145604415064265
oct232672204527651
941611238546107
1010642158432169
11343334aaa36a0
12123a6313b0121
135c27220a4584
1428b1244bb0a5
15136c610030b4
hex9add212afa9

10642158432169 has 32 divisors (see below), whose sum is σ = 12012759053568. Its totient is φ = 9343541760000.

The previous prime is 10642158432089. The next prime is 10642158432179. The reversal of 10642158432169 is 96123485124601.

It is a cyclic number.

It is not a de Polignac number, because 10642158432169 - 29 = 10642158431657 is a prime.

It is a super-2 number, since 2×106421584321692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10642158432179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288911577 + ... + 288948409.

It is an arithmetic number, because the mean of its divisors is an integer number (375398720424).

Almost surely, 210642158432169 is an apocalyptic number.

It is an amenable number.

10642158432169 is a deficient number, since it is larger than the sum of its proper divisors (1370600621399).

10642158432169 is a wasteful number, since it uses less digits than its factorization.

10642158432169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43329.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 10642158432169 in words is "ten trillion, six hundred forty-two billion, one hundred fifty-eight million, four hundred thirty-two thousand, one hundred sixty-nine".

Divisors: 1 11 41 101 451 1111 4141 6343 36833 45551 69773 260063 405163 640643 1510153 2860693 3720133 7047073 16611683 26266363 40921463 152525453 233631719 288929993 1677779983 2569948909 9578900479 23596803619 105367905269 259564839809 967468948379 10642158432169