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681375744 = 2113275281
BaseRepresentation
bin101000100111001…
…111100000000000
31202111010110210200
4220213033200000
52343413010434
6151340125200
722612412130
oct5047174000
91674113720
10681375744
1131a689755
12170236800
13ab21b21a
14666caac0
153ec44199
hex289cf800

681375744 has 144 divisors (see below), whose sum is σ = 2249498160. Its totient is φ = 194641920.

The previous prime is 681375743. The next prime is 681375769. The reversal of 681375744 is 447573186.

681375744 is a `hidden beast` number, since 68 + 13 + 7 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 681375744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681375743) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 126384 + ... + 131664.

It is an arithmetic number, because the mean of its divisors is an integer number (15621515).

Almost surely, 2681375744 is an apocalyptic number.

681375744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124749080).

681375744 is an abundant number, since it is smaller than the sum of its proper divisors (1568122416).

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

681375744 is a wasteful number, since it uses less digits than its factorization.

681375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5293 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 681375744 is about 26103.1749793009. The cubic root of 681375744 is about 879.9585655422.

The spelling of 681375744 in words is "six hundred eighty-one million, three hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5281 5376 6144 7168 8064 9216 10562 10752 14336 15843 16128 18432 21124 21504 31686 32256 36967 42248 43008 47529 63372 64512 73934 84496 95058 110901 126744 129024 147868 168992 190116 221802 253488 295736 332703 337984 380232 443604 506976 591472 665406 675968 760464 887208 1013952 1182944 1330812 1351936 1520928 1774416 2027904 2365888 2661624 2703872 3041856 3548832 4055808 4731776 5323248 5407744 6083712 7097664 8111616 9463552 10646496 10815488 12167424 14195328 16223232 18927104 21292992 24334848 28390656 32446464 37854208 42585984 48669696 56781312 75708416 85171968 97339392 113562624 170343936 227125248 340687872 681375744