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13275495744 = 263759316657
BaseRepresentation
bin11000101110100011…
…11111110101000000
31021021012012001120120
430113101333311000
5204142011330434
610033151540240
7646656565140
oct142721776500
937235161516
1013275495744
1156a2742495
1226a5b2a680
1313374a0134
148dd1a0920
1552a720349
hex31747fd40

13275495744 has 112 divisors (see below), whose sum is σ = 40212678528. Its totient is φ = 3786375168.

The previous prime is 13275495731. The next prime is 13275495797. The reversal of 13275495744 is 44759457231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×132754957442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788664 + ... + 805320.

Almost surely, 213275495744 is an apocalyptic number.

13275495744 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 13275495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106339264).

13275495744 is an abundant number, since it is smaller than the sum of its proper divisors (26937182784).

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

13275495744 is a wasteful number, since it uses less digits than its factorization.

13275495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17272 (or 17262 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 13275495744 in words is "thirteen billion, two hundred seventy-five million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 593 672 1186 1344 1779 2372 3558 4151 4744 7116 8302 9488 12453 14232 16604 16657 18976 24906 28464 33208 33314 37952 49812 49971 56928 66416 66628 99624 99942 113856 116599 132832 133256 199248 199884 233198 265664 266512 349797 398496 399768 466396 533024 699594 796992 799536 932792 1066048 1399188 1599072 1865584 2798376 3198144 3731168 5596752 7462336 9877601 11193504 19755202 22387008 29632803 39510404 59265606 69143207 79020808 118531212 138286414 158041616 207429621 237062424 276572828 316083232 414859242 474124848 553145656 632166464 829718484 948249696 1106291312 1659436968 1896499392 2212582624 3318873936 4425165248 6637747872 13275495744