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13719932768 = 252353547643
BaseRepresentation
bin11001100011100010…
…11000111101100000
31022102011110210120002
430301301120331200
5211044300322033
610145225435132
7663664334663
oct146161307540
938364423502
1013719932768
1159005a9613
1227aa93baa8
1313a859ca19
149422116da
155547603e8
hex331c58f60

13719932768 has 96 divisors (see below), whose sum is σ = 28814558976. Its totient is φ = 6416137728.

The previous prime is 13719932767. The next prime is 13719932801. The reversal of 13719932768 is 86723991731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13719932767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21337055 + ... + 21337697.

It is an arithmetic number, because the mean of its divisors is an integer number (300151656).

Almost surely, 213719932768 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 13719932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407279488).

13719932768 is an abundant number, since it is smaller than the sum of its proper divisors (15094626208).

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

13719932768 is a wasteful number, since it uses less digits than its factorization.

13719932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 56.

The spelling of 13719932768 in words is "thirteen billion, seven hundred nineteen million, nine hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 547 643 736 848 1094 1219 1286 1696 2188 2438 2572 4376 4876 5144 8752 9752 10288 12581 14789 17504 19504 20576 25162 28991 29578 34079 39008 50324 57982 59156 68158 100648 115964 118312 136316 201296 231928 236624 272632 351721 402592 463856 473248 545264 666793 703442 783817 927712 1090528 1333586 1406884 1567634 2667172 2813768 3135268 5334344 5627536 6270536 8089583 10668688 11255072 12541072 16179166 18641213 21337376 25082144 32358332 37282426 64716664 74564852 129433328 149129704 258866656 298259408 428747899 596518816 857495798 1714991596 3429983192 6859966384 13719932768