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1664399616 = 28311271727
BaseRepresentation
bin110001100110100…
…1011100100000000
311021222212021001020
41203031023210000
511402041241431
6433053505440
756150110005
oct14315134400
94258767036
101664399616
11784568080
123a54a2280
13206a93459
1411b0998ac
159b1c0696
hex6334b900

1664399616 has 144 divisors (see below), whose sum is σ = 4856936448. Its totient is φ = 501811200.

The previous prime is 1664399609. The next prime is 1664399621. The reversal of 1664399616 is 6169934661.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289045 + ... + 2289771.

Almost surely, 21664399616 is an apocalyptic number.

1664399616 is a gapful number since it is divisible by the number (16) 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 1664399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428468224).

1664399616 is an abundant number, since it is smaller than the sum of its proper divisors (3192536832).

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

1664399616 is a wasteful number, since it uses less digits than its factorization.

1664399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 1664399616 is about 40797.0540112886. The cubic root of 1664399616 is about 1185.0932804136.

The spelling of 1664399616 in words is "one billion, six hundred sixty-four million, three hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 271 352 384 528 542 704 727 768 813 1056 1084 1408 1454 1626 2112 2168 2181 2816 2908 2981 3252 4224 4336 4362 5816 5962 6504 7997 8448 8672 8724 8943 11632 11924 13008 15994 17344 17448 17886 23264 23848 23991 26016 31988 34688 34896 35772 46528 47696 47982 52032 63976 69376 69792 71544 93056 95392 95964 104064 127952 139584 143088 186112 190784 191928 197017 208128 255904 279168 286176 381568 383856 394034 511808 558336 572352 591051 763136 767712 788068 1023616 1144704 1182102 1535424 1576136 2047232 2167187 2289408 2364204 3070848 3152272 4334374 4728408 6141696 6304544 6501561 8668748 9456816 12609088 13003122 17337496 18913632 25218176 26006244 34674992 37827264 50436352 52012488 69349984 75654528 104024976 138699968 151309056 208049952 277399936 416099904 554799872 832199808 1664399616