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1053763812 = 2232285110267
BaseRepresentation
bin111110110011110…
…010100011100100
32201102211202012100
4332303302203210
54124230420222
6252321452100
735053562463
oct7663624344
92642752170
101053763812
114a0905392
12254aa1030
1313a4127aa
149dd449da
15627a14ac
hex3ecf28e4

1053763812 has 36 divisors (see below), whose sum is σ = 2664874576. Its totient is φ = 351097200.

The previous prime is 1053763793. The next prime is 1053763813. The reversal of 1053763812 is 2183673501.

1053763812 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 638 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10537638122 = 2220836342961542688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1053763813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97503 + ... + 107769.

Almost surely, 21053763812 is an apocalyptic number.

1053763812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053763812 is an abundant number, since it is smaller than the sum of its proper divisors (1611110764).

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

1053763812 is a wasteful number, since it uses less digits than its factorization.

1053763812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13128 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1053763812 is about 32461.7284197869. The cubic root of 1053763812 is about 1017.6093609150.

The spelling of 1053763812 in words is "one billion, fifty-three million, seven hundred sixty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2851 5702 8553 10267 11404 17106 20534 25659 30801 34212 41068 51318 61602 92403 102636 123204 184806 369612 29271217 58542434 87813651 117084868 175627302 263440953 351254604 526881906 1053763812