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1693481664 = 26371260031
BaseRepresentation
bin110010011110000…
…0111101011000000
311101000120210010010
41210330013223000
511432012403124
6440013104520
756652233220
oct14474075300
94330523103
101693481664
11799a20926
123b3188140
1320cb06674
14120caa080
159da17529
hex64f07ac0

1693481664 has 56 divisors (see below), whose sum is σ = 5120770048. Its totient is φ = 483851520.

The previous prime is 1693481663. The next prime is 1693481677. The reversal of 1693481664 is 4661843961.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1693481663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628672 + ... + 631359.

Almost surely, 21693481664 is an apocalyptic number.

1693481664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1693481664 is an abundant number, since it is smaller than the sum of its proper divisors (3427288384).

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

1693481664 is a wasteful number, since it uses less digits than its factorization.

1693481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260053 (or 1260043 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 1693481664 is about 41151.9339035239. The cubic root of 1693481664 is about 1191.9558411940.

The spelling of 1693481664 in words is "one billion, six hundred ninety-three million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1260031 2520062 3780093 5040124 7560186 8820217 10080248 15120372 17640434 20160496 26460651 30240744 35280868 40320992 52921302 60481488 70561736 80641984 105842604 120962976 141123472 211685208 241925952 282246944 423370416 564493888 846740832 1693481664