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10690845052671 = 34723199187679
BaseRepresentation
bin1001101110010010100000…
…0001011000111011111111
31101212000221101002010210000
42123210220001120323333
52400124322313141141
634423150104045343
72152250051403300
oct233445001307377
941760841063700
1010690845052671
113451a64360243
121247b5a463853
135c71b0a03464
1428d6226067a7
151381604135b6
hex9b928058eff

10690845052671 has 120 divisors (see below), whose sum is σ = 19196516106240. Its totient is φ = 5905955008800.

The previous prime is 10690845052663. The next prime is 10690845052703. The reversal of 10690845052671 is 17625054809601.

It is a happy number.

10690845052671 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 0 + 8 + 45 + 0 + 526 + 71 = 666.

It is not a de Polignac number, because 10690845052671 - 23 = 10690845052663 is a prime.

It is a super-2 number, since 2×106908450526712 (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 (10690845052631) 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 119 ways as a sum of consecutive naturals, for example, 121887810 + ... + 121975488.

It is an arithmetic number, because the mean of its divisors is an integer number (159970967552).

Almost surely, 210690845052671 is an apocalyptic number.

10690845052671 is a deficient number, since it is larger than the sum of its proper divisors (8505671053569).

10690845052671 is an equidigital number, since it uses as much as digits as its factorization.

10690845052671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88727 (or 88711 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10690845052671 in words is "ten trillion, six hundred ninety billion, eight hundred forty-five million, fifty-two thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 27 31 49 63 81 93 147 189 217 279 441 567 651 837 991 1323 1519 1953 2511 2973 3969 4557 5859 6937 8919 13671 17577 20811 26757 30721 41013 48559 62433 80271 87679 92163 123039 145677 187299 215047 263037 276489 437031 561897 613753 645141 789111 829467 1311093 1505329 1841259 1935423 2367333 2488401 2718049 3933279 4296271 4515987 5523777 5806269 7101999 8154147 12888813 13547961 16571331 17418807 19026343 24462441 38666439 40643883 49713993 57079029 73387323 86889889 115999317 121931649 133184401 171237087 220161969 260669667 347997951 399553203 513711261 608229223 782009001 1198659609 1541133783 1824687669 2346027003 2693586559 3595978827 4257604561 5474063007 7038081009 8080759677 10787936481 12772813683 16422189021 18855105913 24242279031 38318441049 49266567063 56565317739 72726837093 114955323147 131985741391 169695953217 218180511279 344865969441 395957224173 509087859651 1187871672519 1527263578953 3563615017557 10690845052671