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13958643712 = 23013
BaseRepresentation
bin11010000000000000…
…00000000000000000
31100000210122120102011
431000000000000000
5212041403044322
610225034102304
71002623341156
oct150000000000
940023576364
1013958643712
115a13321692
12285687a994
131415b8bbc0
14965bcd3d6
1556a6b4677
hex340000000

13958643712 has 62 divisors (see below), whose sum is σ = 30064771058. Its totient is φ = 6442450944.

The previous prime is 13958643709. The next prime is 13958643737. The reversal of 13958643712 is 21734685931.

It can be written as a sum of positive squares in only one way, i.e., 9663676416 + 4294967296 = 98304^2 + 65536^2 .

Its product of digits (1088640) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1073741818 + ... + 1073741830.

Almost surely, 213958643712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13958643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032385529).

13958643712 is an abundant number, since it is smaller than the sum of its proper divisors (16106127346).

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

13958643712 is an frugal number, since it uses more digits than its factorization.

13958643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 15 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The spelling of 13958643712 in words is "thirteen billion, nine hundred fifty-eight million, six hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 33554432 54525952 67108864 109051904 134217728 218103808 268435456 436207616 536870912 872415232 1073741824 1744830464 3489660928 6979321856 13958643712