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16161413133420 = 223251012296338713
BaseRepresentation
bin1110101100101101111101…
…0010011111010001101100
32010020000102200001120100100
43223023133102133101230
54104242033230232140
654212241203431100
73255423612014262
oct353133722372154
963200380046310
1016161413133420
115171020428695
121990234685490
13903026451549
143dc3063a2432
151d05de954530
hexeb2df49f46c

16161413133420 has 144 divisors (see below), whose sum is σ = 49511763860832. Its totient is φ = 4266743731200.

The previous prime is 16161413133403. The next prime is 16161413133457. The reversal of 16161413133420 is 2433131416161.

16161413133420 is a `hidden beast` number, since 1 + 6 + 1 + 61 + 41 + 3 + 133 + 420 = 666.

It is a super-2 number, since 2×161614131334202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417447984 + ... + 417486696.

It is an arithmetic number, because the mean of its divisors is an integer number (343831693478).

Almost surely, 216161413133420 is an apocalyptic number.

16161413133420 is a gapful number since it is divisible by the number (10) 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 16161413133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755881930416).

16161413133420 is an abundant number, since it is smaller than the sum of its proper divisors (33350350727412).

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

16161413133420 is a wasteful number, since it uses less digits than its factorization.

16161413133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61792 (or 61787 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 16161413133420 its reverse (2433131416161), we get a palindrome (18594544549581).

The spelling of 16161413133420 in words is "sixteen trillion, one hundred sixty-one billion, four hundred thirteen million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 22963 38713 45926 68889 77426 91852 114815 116139 137778 154852 193565 206667 229630 232278 275556 344445 348417 387130 413334 459260 464556 580695 688890 696834 774260 826668 1033335 1161390 1377780 1393668 1742085 2066670 2319263 2322780 3484170 3910013 4133340 4638526 6957789 6968340 7820026 9277052 11596315 11730039 13915578 15640052 19550065 20873367 23192630 23460078 27831156 34788945 35190117 39100130 41746734 46385260 46920156 58650195 69577890 70380234 78200260 83493468 104366835 117300390 139155780 140760468 175950585 208733670 234600780 351901170 417467340 703802340 888966619 1777933238 2666899857 3555866476 4444833095 5333799714 8000699571 8889666190 10667599428 13334499285 16001399142 17779332380 26668998570 32002798284 40003497855 53337997140 80006995710 89785628519 160013991420 179571257038 269356885557 359142514076 448928142595 538713771114 808070656671 897856285190 1077427542228 1346784427785 1616141313342 1795712570380 2693568855570 3232282626684 4040353283355 5387137711140 8080706566710 16161413133420