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12335462664 = 233739291613
BaseRepresentation
bin10110111110100000…
…00011100100001000
31011211200100102121120
423133100003210020
5200230334301124
65400011435240
7614453463000
oct133720034410
934750312546
1012335462664
115260057748
122483155b20
1312177cab45
148503c3000
154c2e36d79
hex2df403908

12335462664 has 128 divisors (see below), whose sum is σ = 36024480000. Its totient is φ = 3518441472.

The previous prime is 12335462617. The next prime is 12335462669. The reversal of 12335462664 is 46626453321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12335462669) 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, 7646722 + ... + 7648334.

It is an arithmetic number, because the mean of its divisors is an integer number (281441250).

Almost surely, 212335462664 is an apocalyptic number.

12335462664 is a gapful number since it is divisible by the number (14) 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 12335462664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012240000).

12335462664 is an abundant number, since it is smaller than the sum of its proper divisors (23689017336).

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

12335462664 is a wasteful number, since it uses less digits than its factorization.

12335462664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2554 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 12335462664 in words is "twelve billion, three hundred thirty-five million, four hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 929 1029 1176 1372 1613 1858 2058 2744 2787 3226 3716 4116 4839 5574 6452 6503 7432 8232 9678 11148 11291 12904 13006 19356 19509 22296 22582 26012 33873 38712 39018 45164 45521 52024 67746 78036 79037 90328 91042 135492 136563 156072 158074 182084 237111 270984 273126 316148 318647 364168 474222 546252 553259 632296 637294 948444 955941 1092504 1106518 1274588 1498477 1659777 1896888 1911882 2213036 2549176 2996954 3319554 3823764 4426072 4495431 5993908 6639108 7647528 8990862 10489339 11987816 13278216 17981724 20978678 31468017 35963448 41957356 62936034 73425373 83914712 125872068 146850746 220276119 251744136 293701492 440552238 513977611 587402984 881104476 1027955222 1541932833 1762208952 2055910444 3083865666 4111820888 6167731332 12335462664