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1053676656 = 243261911821
BaseRepresentation
bin111110110011011…
…101010001110000
32201102200022122100
4332303131101300
54124220123111
6252315540400
735053050414
oct7663352160
92642608570
101053676656
114a085595a
12254a5a700
1313a3b1c16
149dd20d44
1562785756
hex3ecdd470

1053676656 has 60 divisors (see below), whose sum is σ = 2953844920. Its totient is φ = 350628480.

The previous prime is 1053676651. The next prime is 1053676721. The reversal of 1053676656 is 6566763501.

1053676656 is a `hidden beast` number, since 1 + 0 + 536 + 7 + 66 + 56 = 666.

It is a super-2 number, since 2×10536766562 = 2220468990798684672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053676651) 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, 83226 + ... + 95046.

Almost surely, 21053676656 is an apocalyptic number.

1053676656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1053676656 is an abundant number, since it is smaller than the sum of its proper divisors (1900168264).

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

1053676656 is a wasteful number, since it uses less digits than its factorization.

1053676656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 1053676656 is about 32460.3859496464. The cubic root of 1053676656 is about 1017.5813049105.

The spelling of 1053676656 in words is "one billion, fifty-three million, six hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 11821 14856 22284 23642 29712 35463 44568 47284 70926 89136 94568 106389 141852 189136 212778 283704 425556 567408 851112 1702224 7317199 14634398 21951597 29268796 43903194 58537592 65854791 87806388 117075184 131709582 175612776 263419164 351225552 526838328 1053676656