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1663702992 = 243274735117
BaseRepresentation
bin110001100101010…
…0001011111010000
311021221112212110100
41203022201133100
511401401443432
6433030532400
756141146020
oct14312413720
94257485410
101663702992
11784131756
123a5207100
132068ab353
1411ad57a80
159b0d407c
hex632a17d0

1663702992 has 120 divisors (see below), whose sum is σ = 5434580736. Its totient is φ = 465216768.

The previous prime is 1663702987. The next prime is 1663703029. The reversal of 1663702992 is 2992073661.

It is a happy number.

1663702992 is a `hidden beast` number, since 1 + 6 + 637 + 0 + 2 + 9 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29818 + ... + 64934.

Almost surely, 21663702992 is an apocalyptic number.

1663702992 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 1663702992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717290368).

1663702992 is an abundant number, since it is smaller than the sum of its proper divisors (3770877744).

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

1663702992 is a wasteful number, since it uses less digits than its factorization.

1663702992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35185 (or 35176 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1663702992 is about 40788.5154424625. The cubic root of 1663702992 is about 1184.9279195594.

The spelling of 1663702992 in words is "one billion, six hundred sixty-three million, seven hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 35117 47376 70234 105351 140468 210702 245819 280936 316053 421404 491638 561872 632106 737457 842808 983276 1264212 1474914 1650499 1685616 1966552 2212371 2528424 2949828 3300998 3933104 4424742 4951497 5056848 5899656 6601996 8849484 9902994 11553493 11799312 13203992 14854491 17698968 19805988 23106986 26407984 29708982 34660479 35397936 39611976 46213972 59417964 69320958 79223952 92427944 103981437 118835928 138641916 184855888 207962874 237671856 277283832 415925748 554567664 831851496 1663702992