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211106232532992 = 2463
BaseRepresentation
bin110000000000000000000000…
…000000000000000000000000
31000200110120002022112120002210
4300000000000000000000000
5210132231031012023432
62024552510412542120
762315631145240566
oct6000000000000000
91020416068476083
10211106232532992
11612a0717811675
121b815976181940
1390a43034c65c4
143a1b84bc79a36
151961556bee8cc
hexc00000000000

211106232532992 has 94 divisors (see below), whose sum is σ = 562949953421308. Its totient is φ = 70368744177664.

The previous prime is 211106232532969. The next prime is 211106232533047. The reversal of 211106232532992 is 299235232601112.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)43.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 211106232532992 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70368744177663 + 70368744177664 + 70368744177665.

Almost surely, 2211106232532992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211106232532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281474976710654).

211106232532992 is an abundant number, since it is smaller than the sum of its proper divisors (351843720888316).

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

211106232532992 is an frugal number, since it uses more digits than its factorization.

211106232532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

211106232532992 divided by its sum of digits (48) gives a 42-nd power (4398046511104 = 242).

The spelling of 211106232532992 in words is "two hundred eleven trillion, one hundred six billion, two hundred thirty-two million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 8589934592 12884901888 17179869184 25769803776 34359738368 51539607552 68719476736 103079215104 137438953472 206158430208 274877906944 412316860416 549755813888 824633720832 1099511627776 1649267441664 2199023255552 3298534883328 4398046511104 6597069766656 8796093022208 13194139533312 17592186044416 26388279066624 35184372088832 52776558133248 70368744177664 105553116266496 211106232532992