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12833386681696 = 257389147279961
BaseRepresentation
bin1011101011000000000101…
…1101000101010101100000
31200102212012210011000001121
42322300001131011111200
53140230233442303241
643143324302542024
72463116166640660
oct272600135052540
950385183130047
1012833386681696
1140a8677241719
121533243297914
1372124c5730c9
143251d40901a0
15173c5c312ad1
hexbac01745560

12833386681696 has 48 divisors (see below), whose sum is σ = 28949349330720. Its totient is φ = 5485883950080.

The previous prime is 12833386681693. The next prime is 12833386681711. The reversal of 12833386681696 is 69618668333821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12833386681693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73552845 + ... + 73727116.

It is an arithmetic number, because the mean of its divisors is an integer number (603111444390).

Almost surely, 212833386681696 is an apocalyptic number.

12833386681696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12833386681696 is an abundant number, since it is smaller than the sum of its proper divisors (16115962649024).

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

12833386681696 is a wasteful number, since it uses less digits than its factorization.

12833386681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147280367 (or 147280359 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 70.

The spelling of 12833386681696 in words is "twelve trillion, eight hundred thirty-three billion, three hundred eighty-six million, six hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 778 1556 2723 3112 5446 6224 10892 12448 21784 43568 87136 147279961 294559922 589119844 1030959727 1178239688 2061919454 2356479376 4123838908 4712958752 8247677816 16495355632 32990711264 57291904829 114583809658 229167619316 401043333803 458335238632 802086667606 916670477264 1604173335212 1833340954528 3208346670424 6416693340848 12833386681696