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16106373120 = 2143565537
BaseRepresentation
bin11110000000000001…
…11100000000000000
31112120110222112021210
433000000330000000
5230441212414440
611222115250120
71110062625015
oct170000740000
945513875253
1016106373120
11691569a572
123155ba9940
131698b1b7c6
14acb14170c
15644008a80
hex3c003c000

16106373120 has 120 divisors (see below), whose sum is σ = 51539607504. Its totient is φ = 4294967296.

The previous prime is 16106373089. The next prime is 16106373161. The reversal of 16106373120 is 2137360161.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 16106373120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212992 + ... + 278528.

Almost surely, 216106373120 is an apocalyptic number.

16106373120 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 16106373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769803752).

16106373120 is an abundant number, since it is smaller than the sum of its proper divisors (35433234384).

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

16106373120 is an frugal number, since it uses more digits than its factorization.

16106373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65573 (or 65547 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 16106373120 in words is "sixteen billion, one hundred six million, three hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 40960 49152 61440 65537 81920 122880 131074 196611 245760 262148 327685 393222 524296 655370 786444 983055 1048592 1310740 1572888 1966110 2097184 2621480 3145776 3932220 4194368 5242960 6291552 7864440 8388736 10485920 12583104 15728880 16777472 20971840 25166208 31457760 33554944 41943680 50332416 62915520 67109888 83887360 100664832 125831040 134219776 167774720 201329664 251662080 268439552 335549440 402659328 503324160 536879104 671098880 805318656 1006648320 1073758208 1342197760 1610637312 2013296640 2684395520 3221274624 4026593280 5368791040 8053186560 16106373120