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1664492032 = 2971721607
BaseRepresentation
bin110001100110110…
…0010001000000000
311022000000221211001
41203031202020000
511402102221112
6433055501344
756150643310
oct14315421000
94260027731
101664492032
11784620555
123a5527854
13206ac6538
1411b0c1440
159b1dcc57
hex63362200

1664492032 has 120 divisors (see below), whose sum is σ = 4040080704. Its totient is φ = 670973952.

The previous prime is 1664491999. The next prime is 1664492059. The reversal of 1664492032 is 2302944661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1664491982 and 1664492000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034973 + ... + 1036579.

Almost surely, 21664492032 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 1664492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020040352).

1664492032 is an abundant number, since it is smaller than the sum of its proper divisors (2375588672).

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

1664492032 is an equidigital number, since it uses as much as digits as its factorization.

1664492032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 1664492032 is about 40798.1866263686. The cubic root of 1664492032 is about 1185.1152141593.

The spelling of 1664492032 in words is "one billion, six hundred sixty-four million, four hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 289 448 476 512 544 578 896 952 1088 1156 1607 1792 1904 2023 2176 2312 3214 3584 3808 4046 4352 4624 6428 7616 8092 8704 9248 11249 12856 15232 16184 18496 22498 25712 27319 30464 32368 36992 44996 51424 54638 60928 64736 73984 89992 102848 109276 129472 147968 179984 191233 205696 218552 258944 359968 382466 411392 437104 464423 517888 719936 764932 822784 874208 928846 1035776 1439872 1529864 1748416 1857692 2879744 3059728 3250961 3496832 3715384 5759488 6119456 6501922 6993664 7430768 12238912 13003844 13987328 14861536 24477824 26007688 29723072 48955648 52015376 59446144 97911296 104030752 118892288 208061504 237784576 416123008 832246016 1664492032