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16106127360 = 23035
BaseRepresentation
bin11110000000000000…
…00000000000000000
31112120110112001011120
433000000000000000
5230441132033420
611222110112240
71110060552351
oct170000000000
945513461146
1016106127360
116915541964
123155aab680
131698a6399b
14acb0b9d28
15643eaad40
hex3c0000000

16106127360 has 124 divisors (see below), whose sum is σ = 51539607528. Its totient is φ = 4294967296.

The previous prime is 16106127277. The next prime is 16106127377. The reversal of 16106127360 is 6372160161.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)27.

It is an ABA number since it can be written as A⋅BA, here for A=15, B=4.

It is a nialpdrome in base 2 and base 4.

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 16106127360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3221225470 + ... + 3221225474.

Almost surely, 216106127360 is an apocalyptic number.

16106127360 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 16106127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769803764).

16106127360 is an abundant number, since it is smaller than the sum of its proper divisors (35433480168).

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

16106127360 is an frugal number, since it uses more digits than its factorization.

16106127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 16106127360 in words is "sixteen billion, one hundred six million, one hundred twenty-seven thousand, three hundred sixty".

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 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 536870912 671088640 805306368 1006632960 1073741824 1342177280 1610612736 2013265920 2684354560 3221225472 4026531840 5368709120 8053063680 16106127360