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1694085632 = 291721072
BaseRepresentation
bin110010011111001…
…1011001000000000
311101001201110121022
41210332123020000
511432141220012
6440034045012
756660330111
oct14476331000
94331643538
101694085632
1179a2a3678
123b3419768
1320cc88545
14120dc6208
159dad6472
hex64f9b200

1694085632 has 90 divisors (see below), whose sum is σ = 3629602977. Its totient is φ = 789766144.

The previous prime is 1694085623. The next prime is 1694085637. The reversal of 1694085632 is 2365804961.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1550469376 + 143616256 = 39376^2 + 11984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=29104.

It is a super-2 number, since 2×16940856322 = 5739852257097678848, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1694085637) 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 8 ways as a sum of consecutive naturals, for example, 15832523 + ... + 15832629.

Almost surely, 21694085632 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 1694085632

1694085632 is an abundant number, since it is smaller than the sum of its proper divisors (1935517345).

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

1694085632 is an frugal number, since it uses more digits than its factorization.

1694085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 1694085632 is about 41159.2715193066. The cubic root of 1694085632 is about 1192.0975251648.

The spelling of 1694085632 in words is "one billion, six hundred ninety-four million, eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 256 272 289 428 512 544 578 856 1088 1156 1712 1819 2176 2312 3424 3638 4352 4624 6848 7276 8704 9248 11449 13696 14552 18496 22898 27392 29104 30923 36992 45796 54784 58208 61846 73984 91592 116416 123692 147968 183184 194633 232832 247384 366368 389266 465664 494768 732736 778532 931328 989536 1465472 1557064 1979072 2930944 3114128 3308761 3958144 5861888 6228256 6617522 7916288 12456512 13235044 15832576 24913024 26470088 49826048 52940176 99652096 105880352 211760704 423521408 847042816 1694085632