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1693395072 = 273554443
BaseRepresentation
bin110010011101111…
…0010100010000000
311101000102101100000
41210323302202000
511432002120242
6440011200000
756651422605
oct14473624200
94330371300
101693395072
11799971866
123b3146000
1320caa6125
14120c866ac
159d9eba4c
hex64ef2880

1693395072 has 96 divisors (see below), whose sum is σ = 5053492080. Its totient is φ = 564454656.

The previous prime is 1693395037. The next prime is 1693395073. The reversal of 1693395072 is 2705933961.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1693395073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3883 + ... + 58325.

Almost surely, 21693395072 is an apocalyptic number.

1693395072 is a gapful number since it is divisible by the number (12) 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 1693395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526746040).

1693395072 is an abundant number, since it is smaller than the sum of its proper divisors (3360097008).

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

1693395072 is an frugal number, since it uses more digits than its factorization.

1693395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54472 (or 54448 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1693395072 is about 41150.8817888511. The cubic root of 1693395072 is about 1191.9355249423.

The spelling of 1693395072 in words is "one billion, six hundred ninety-three million, three hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 54443 108886 163329 217772 326658 435544 489987 653316 871088 979974 1306632 1469961 1742176 1959948 2613264 2939922 3484352 3919896 4409883 5226528 5879844 6968704 7839792 8819766 10453056 11759688 13229649 15679584 17639532 20906112 23519376 26459298 31359168 35279064 47038752 52918596 62718336 70558128 94077504 105837192 141116256 188155008 211674384 282232512 423348768 564465024 846697536 1693395072