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490366938528 = 25332207257161
BaseRepresentation
bin1110010001011000010…
…01011010110110100000
31201212201111220111011000
413020230021122312200
531013232414013103
61013134345152000
750266515130125
oct7105411326640
91655644814130
10490366938528
11179a66397875
127b052a8b600
133731a4975bc
1419a3bada74c
15cb500a7aa3
hex722c25ada0

490366938528 has 96 divisors (see below), whose sum is σ = 1430890513920. Its totient is φ = 163380948480.

The previous prime is 490366938497. The next prime is 490366938559. The reversal of 490366938528 is 825839663094.

490366938528 is a `hidden beast` number, since 4 + 90 + 366 + 93 + 85 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (490366938497) and next prime (490366938559).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778268 + ... + 2035428.

It is an arithmetic number, because the mean of its divisors is an integer number (14905109520).

Almost surely, 2490366938528 is an apocalyptic number.

490366938528 is a gapful number since it is divisible by the number (48) 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 490366938528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445256960).

490366938528 is an abundant number, since it is smaller than the sum of its proper divisors (940523575392).

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

490366938528 is a wasteful number, since it uses less digits than its factorization.

490366938528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259387 (or 259373 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 490366938528 in words is "four hundred ninety billion, three hundred sixty-six million, nine hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2207 4414 6621 8828 13242 17656 19863 26484 35312 39726 52968 59589 70624 79452 105936 119178 158904 211872 238356 257161 317808 476712 514322 635616 771483 953424 1028644 1542966 1906848 2057288 2314449 3085932 4114576 4628898 6171864 6943347 8229152 9257796 12343728 13886694 18515592 24687456 27773388 37031184 55546776 74062368 111093552 222187104 567554327 1135108654 1702662981 2270217308 3405325962 4540434616 5107988943 6810651924 9080869232 10215977886 13621303848 15323966829 18161738464 20431955772 27242607696 30647933658 40863911544 54485215392 61295867316 81727823088 122591734632 163455646176 245183469264 490366938528