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1663671372 = 2231167313601
BaseRepresentation
bin110001100101001…
…1001110001001100
311021221111021002020
41203022121301030
511401344440442
6433030130140
756140654566
oct14312316114
94257437066
101663671372
1178410aa20
123a51b0950
13206899b3c
1411ad4a336
159b0c99ec
hex63299c4c

1663671372 has 96 divisors (see below), whose sum is σ = 4318911744. Its totient is φ = 494208000.

The previous prime is 1663671371. The next prime is 1663671377. The reversal of 1663671372 is 2731763661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1663671371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2767872 + ... + 2768472.

It is an arithmetic number, because the mean of its divisors is an integer number (44988664).

Almost surely, 21663671372 is an apocalyptic number.

1663671372 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 1663671372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159455872).

1663671372 is an abundant number, since it is smaller than the sum of its proper divisors (2655240372).

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

1663671372 is a wasteful number, since it uses less digits than its factorization.

1663671372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 1663671372 is about 40788.1278315149. The cubic root of 1663671372 is about 1184.9204126790.

The spelling of 1663671372 in words is "one billion, six hundred sixty-three million, six hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 313 402 601 626 737 804 939 1202 1252 1474 1803 1878 2211 2404 2948 3443 3606 3756 4422 6611 6886 7212 8844 10329 13222 13772 19833 20658 20971 26444 39666 40267 41316 41942 62913 79332 80534 83884 120801 125826 161068 188113 230681 241602 251652 376226 442937 461362 483204 564339 692043 752452 885874 922724 1128678 1328811 1384086 1771748 2069243 2257356 2657622 2768172 4138486 5315244 6207729 8276972 12415458 12603571 24830916 25207142 37810713 50414284 75621426 138639281 151242852 277278562 415917843 554557124 831835686 1663671372