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16130263353012 = 223224161710332917
BaseRepresentation
bin1110101010111001111010…
…0111100000011010110100
32010010001000210020202202200
43222232132213200122310
54103234234404244022
654150050215504500
73253241651161044
oct352563647403264
963101023222680
1016130263353012
115159896169616
1219861a0688130
13900100ac9313
143da9cd37b724
151ce8b9e0ebac
hexeab9e9e06b4

16130263353012 has 144 divisors (see below), whose sum is σ = 41063036366352. Its totient is φ = 5338760232960.

The previous prime is 16130263353007. The next prime is 16130263353041. The reversal of 16130263353012 is 21035336203161.

16130263353012 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 0 + 2 + 633 + 5 + 3 + 0 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3684580064676 + 12445683288336 = 1919526^2 + 3527844^2 .

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

It is a congruent number.

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, 5529742578 + ... + 5529745494.

Almost surely, 216130263353012 is an apocalyptic number.

16130263353012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16130263353012 is an abundant number, since it is smaller than the sum of its proper divisors (24932773013340).

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

16130263353012 is a wasteful number, since it uses less digits than its factorization.

16130263353012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 16130263353012 its reverse (21035336203161), we get a palindrome (37165599556173).

The spelling of 16130263353012 in words is "sixteen trillion, one hundred thirty billion, two hundred sixty-three million, three hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 617 723 964 1033 1234 1446 1851 2066 2169 2468 2892 2917 3099 3702 4132 4338 5553 5834 6198 7404 8676 8751 9297 11106 11668 12396 17502 18594 22212 26253 35004 37188 52506 105012 148697 248953 297394 446091 497906 594788 637361 702997 746859 892182 995812 1274722 1338273 1405994 1493718 1784364 1799789 1912083 2108991 2240577 2549444 2676546 2811988 2987436 3013261 3599578 3824166 4217982 4481154 5353092 5399367 5736249 6026522 6326973 7199156 7648332 8435964 8962308 9039783 10798734 11472498 12053044 12653946 16198101 18079566 21597468 22944996 25307892 27119349 32396202 36159132 54238698 64792404 108477396 153604001 307208002 433749149 460812003 614416004 726195901 867498298 921624006 1301247447 1382436009 1452391802 1734996596 1843248012 1859182037 2178587703 2602494894 2764872018 2904783604 3718364074 3903742341 4357175406 5204989788 5529744036 5577546111 6535763109 7436728148 7807484682 8714350812 11155092222 13071526218 15614969364 16732638333 22310184444 26143052436 33465276666 66930553332 448062870917 896125741834 1344188612751 1792251483668 2688377225502 4032565838253 5376754451004 8065131676506 16130263353012