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13158246168 = 23321918795119
BaseRepresentation
bin11000100000100101…
…01110011100011000
31020222000120011101200
430100102232130120
5203422002334133
610013402514200
7644034150504
oct142022563430
936860504350
1013158246168
11564253a111
122672805960
1313190ca0a2
148cb79d304
155202ae913
hex3104ae718

13158246168 has 96 divisors (see below), whose sum is σ = 37539840000. Its totient is φ = 4152212928.

The previous prime is 13158246163. The next prime is 13158246193. The reversal of 13158246168 is 86164285131.

13158246168 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 8 + 24 + 616 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13158246163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567913 + ... + 2573031.

It is an arithmetic number, because the mean of its divisors is an integer number (391040000).

Almost surely, 213158246168 is an apocalyptic number.

13158246168 is a gapful number since it is divisible by the number (18) 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 13158246168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769920000).

13158246168 is an abundant number, since it is smaller than the sum of its proper divisors (24381593832).

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

13158246168 is a wasteful number, since it uses less digits than its factorization.

13158246168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7022 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13158246168 in words is "thirteen billion, one hundred fifty-eight million, two hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1879 3758 5119 5637 7516 10238 11274 15032 15357 16911 20476 22548 30714 33822 35701 40952 45096 46071 61428 67644 71402 92142 97261 107103 122856 135288 142804 184284 194522 214206 285608 291783 321309 368568 389044 428412 583566 642618 778088 856824 875349 1167132 1285236 1750698 2334264 2570472 3501396 7002792 9618601 19237202 28855803 38474404 57711606 76948808 86567409 115423212 173134818 182753419 230846424 346269636 365506838 548260257 692539272 731013676 1096520514 1462027352 1644780771 2193041028 3289561542 4386082056 6579123084 13158246168