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13103704416 = 2531143288577
BaseRepresentation
bin11000011010000101…
…01010100101100000
31020211012221011011210
430031002222211200
5203314022020131
610004133510120
7642502435605
oct141502524540
936735834153
1013103704416
115614777090
1226584a2340
13130aa1166a
148c44426ac
1551a5d9146
hex30d0aa960

13103704416 has 96 divisors (see below), whose sum is σ = 38397034368. Its totient is φ = 3878461440.

The previous prime is 13103704409. The next prime is 13103704421. The reversal of 13103704416 is 61440730131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98881 + ... + 189696.

It is an arithmetic number, because the mean of its divisors is an integer number (399969108).

Almost surely, 213103704416 is an apocalyptic number.

13103704416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13103704416 is an abundant number, since it is smaller than the sum of its proper divisors (25293329952).

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

13103704416 is a wasteful number, since it uses less digits than its factorization.

13103704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288644 (or 288636 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13103704416 in words is "thirteen billion, one hundred three million, seven hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 45408 288577 577154 865731 1154308 1731462 2308616 3174347 3462924 4617232 6348694 6925848 9234464 9523041 12408811 12697388 13851696 19046082 24817622 25394776 27703392 37226433 38092164 49635244 50789552 74452866 76184328 99270488 101579104 136496921 148905732 152368656 198540976 272993842 297811464 304737312 397081952 409490763 545987684 595622928 818981526 1091975368 1191245856 1637963052 2183950736 3275926104 4367901472 6551852208 13103704416