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1053813656 = 237181110391
BaseRepresentation
bin111110110011111…
…110101110011000
32201102221021120102
4332303332232120
54124234014111
6252322514532
735054161010
oct7663765630
92642837512
101053813656
114a0939885
12254b05a48
1313a42c39c
149dd58c40
15627b113b
hex3ecfeb98

1053813656 has 32 divisors (see below), whose sum is σ = 2259636480. Its totient is φ = 451341600.

The previous prime is 1053813653. The next prime is 1053813679. The reversal of 1053813656 is 6563183501.

It is a super-3 number, since 3×10538136563 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053813653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96221 + ... + 106611.

It is an arithmetic number, because the mean of its divisors is an integer number (70613640).

Almost surely, 21053813656 is an apocalyptic number.

It is an amenable number.

1053813656 is an abundant number, since it is smaller than the sum of its proper divisors (1205822824).

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

1053813656 is a wasteful number, since it uses less digits than its factorization.

1053813656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12215 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 1053813656 is about 32462.4961455523. The cubic root of 1053813656 is about 1017.6254052824.

The spelling of 1053813656 in words is "one billion, fifty-three million, eight hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 1811 3622 7244 10391 12677 14488 20782 25354 41564 50708 72737 83128 101416 145474 290948 581896 18818101 37636202 75272404 131726707 150544808 263453414 526906828 1053813656