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10646613346431 = 3831011273333397
BaseRepresentation
bin1001101011101101101110…
…0110110100100001111111
31101200210202210022122121210
42122323123212310201333
52343413231004041211
634350553041055503
72146123001165436
oct232733346644177
941623683278553
1010646613346431
11343522674a717
12123b475327593
135c2c8202370a
1428b42800c11d
15136e221879a6
hex9aedb9b487f

10646613346431 has 32 divisors (see below), whose sum is σ = 14623003680768. Its totient is φ = 6888129494400.

The previous prime is 10646613346427. The next prime is 10646613346433. The reversal of 10646613346431 is 13464331664601.

It is not a de Polignac number, because 10646613346431 - 22 = 10646613346427 is a prime.

It is a super-2 number, since 2×106466133464312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646613346433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527225 + ... + 4860621.

It is an arithmetic number, because the mean of its divisors is an integer number (456968865024).

Almost surely, 210646613346431 is an apocalyptic number.

10646613346431 is a deficient number, since it is larger than the sum of its proper divisors (3976390334337).

10646613346431 is a wasteful number, since it uses less digits than its factorization.

10646613346431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333711.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 10646613346431 in words is "ten trillion, six hundred forty-six billion, six hundred thirteen million, three hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 83 101 127 249 303 381 8383 10541 12827 25149 31623 38481 1064641 3193923 3333397 10000191 276671951 336673097 423341419 830015853 1010019291 1270024257 27943867051 35137337777 42757483319 83831601153 105412013331 128272449957 3548871115477 10646613346431