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1801011072 = 2737295717
BaseRepresentation
bin110101101011001…
…0011111110000000
311122111220211201210
41223112103332000
512142024323242
6454413530120
762426225100
oct15326237600
94574824653
101801011072
11844695303
124231a3940
13229185333
1413129b200
15a81a7d9c
hex6b593f80

1801011072 has 96 divisors (see below), whose sum is σ = 5565044520. Its totient is φ = 514569216.

The previous prime is 1801011071. The next prime is 1801011101. The reversal of 1801011072 is 2701101081.

1801011072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×18010110723 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801011071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29043 + ... + 66674.

Almost surely, 21801011072 is an apocalyptic number.

1801011072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1801011072 is an abundant number, since it is smaller than the sum of its proper divisors (3764033448).

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

1801011072 is an equidigital number, since it uses as much as digits as its factorization.

1801011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95748 (or 95729 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 1801011072 is about 42438.3207961861. The cubic root of 1801011072 is about 1216.6681173770.

Subtracting 1801011072 from its reverse (2701101081), we obtain a palindrome (900090009).

The spelling of 1801011072 in words is "one billion, eight hundred one million, eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 95717 191434 287151 382868 574302 670019 765736 1148604 1340038 1531472 2010057 2297208 2680076 3062944 4020114 4594416 4690133 5360152 6125888 8040228 9188832 9380266 10720304 12251776 14070399 16080456 18377664 18760532 21440608 28140798 32160912 36755328 37521064 42881216 56281596 64321824 75042128 85762432 112563192 128643648 150084256 225126384 257287296 300168512 450252768 600337024 900505536 1801011072