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1663097568 = 253112294937
BaseRepresentation
bin110001100100000…
…1101101011100000
311021220102002222020
41203020031223200
511401223110233
6433005541440
756133044646
oct14310155340
94256362866
101663097568
11783858900
123a4b74880
13206728902
1411ac3b196
159b0149b3
hex6320dae0

1663097568 has 144 divisors (see below), whose sum is σ = 4965060240. Its totient is φ = 486492160.

The previous prime is 1663097563. The next prime is 1663097581. The reversal of 1663097568 is 8657903661.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1663097568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663097563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334396 + ... + 339332.

It is an arithmetic number, because the mean of its divisors is an integer number (34479585).

Almost surely, 21663097568 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 1663097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482530120).

1663097568 is an abundant number, since it is smaller than the sum of its proper divisors (3301962672).

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

1663097568 is a wasteful number, since it uses less digits than its factorization.

1663097568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 1663097568 is about 40781.0932663655. The cubic root of 1663097568 is about 1184.7841697754.

The spelling of 1663097568 in words is "one billion, six hundred sixty-three million, ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 121 132 174 176 232 242 264 319 348 352 363 464 484 528 638 696 726 928 957 968 1056 1276 1392 1452 1914 1936 2552 2784 2904 3509 3828 3872 4937 5104 5808 7018 7656 9874 10208 10527 11616 14036 14811 15312 19748 21054 28072 29622 30624 39496 42108 54307 56144 59244 78992 84216 108614 112288 118488 143173 157984 162921 168432 217228 236976 286346 325842 336864 429519 434456 473952 572692 597377 651684 859038 868912 1145384 1194754 1303368 1574903 1718076 1737824 1792131 2290768 2389508 2606736 3149806 3436152 3584262 4581536 4724709 4779016 5213472 6299612 6872304 7168524 9449418 9558032 12599224 13744608 14337048 17323933 18898836 19116064 25198448 28674096 34647866 37797672 50396896 51971799 57348192 69295732 75595344 103943598 138591464 151190688 207887196 277182928 415774392 554365856 831548784 1663097568