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69394744749396 = 2231117229313486513
BaseRepresentation
bin11111100011101001110010…
…00111000010110101010100
3100002201001222002002022202010
433301310321013002311110
533043430414123440041
6403331301114544220
720421414315626463
oct1761647107026524
9302631862068663
1069394744749396
1120125167326010
1279491bb738070
132c94b8638a371
14131ca1b6789da
158051b3601a16
hex3f1d391c2d54

69394744749396 has 96 divisors (see below), whose sum is σ = 187113405725568. Its totient is φ = 19783094722560.

The previous prime is 69394744749391. The next prime is 69394744749437.

69394744749396 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69394744749391) 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, 1597765 + ... + 11888748.

It is an arithmetic number, because the mean of its divisors is an integer number (1949097976308).

Almost surely, 269394744749396 is an apocalyptic number.

69394744749396 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69394744749396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93556702862784).

69394744749396 is an abundant number, since it is smaller than the sum of its proper divisors (117718660976172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69394744749396 is a wasteful number, since it uses less digits than its factorization.

69394744749396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13488841 (or 13488839 counting only the distinct ones).

The product of its digits is 26665583616, while the sum is 84.

The spelling of 69394744749396 in words is "sixty-nine trillion, three hundred ninety-four billion, seven hundred forty-four million, seven hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 2293 4586 6879 9172 13758 25223 27516 38981 50446 75669 77962 100892 116943 151338 155924 233886 302676 428791 467772 857582 1286373 1715164 2572746 5145492 13486513 26973026 40459539 53946052 80919078 148351643 161838156 229270721 296703286 445054929 458541442 593406572 687812163 890109858 917082884 1375624326 1780219716 2521977931 2751248652 5043955862 7565933793 10087911724 15131867586 30263735172 30924574309 61849148618 92773722927 123698297236 185547445854 340170317399 371094891708 525717763253 680340634798 1020510952197 1051435526506 1360681269596 1577153289759 2041021904394 2102871053012 3154306579518 4082043808788 5782895395783 6308613159036 11565790791566 17348686187349 23131581583132 34697372374698 69394744749396