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681051564 = 22345773643
BaseRepresentation
bin101000100110000…
…000010110101100
31202110112000010000
4220212000112230
52343322122224
6151325144300
722606562034
oct5046002654
91673460100
10681051564
1131a488136
121700bb090
13ab1367bb
14666448c4
153ebcd0c9
hex289805ac

681051564 has 60 divisors (see below), whose sum is σ = 1783978504. Its totient is φ = 226561536.

The previous prime is 681051541. The next prime is 681051593. The reversal of 681051564 is 465150186.

681051564 is a `hidden beast` number, since 6 + 81 + 0 + 515 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185127 + ... + 188769.

Almost surely, 2681051564 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 681051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891989252).

681051564 is an abundant number, since it is smaller than the sum of its proper divisors (1102926940).

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

681051564 is a wasteful number, since it uses less digits than its factorization.

681051564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 681051564 is about 26096.9646510854. The cubic root of 681051564 is about 879.8189899739.

The spelling of 681051564 in words is "six hundred eighty-one million, fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 577 1154 1731 2308 3462 3643 5193 6924 7286 10386 10929 14572 15579 20772 21858 31158 32787 43716 46737 62316 65574 93474 98361 131148 186948 196722 295083 393444 590166 1180332 2102011 4204022 6306033 8408044 12612066 18918099 25224132 37836198 56754297 75672396 113508594 170262891 227017188 340525782 681051564