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663131650304 = 28101155916451
BaseRepresentation
bin10011010011001011011…
…10011111100100000000
32100101122210012011211202
421221211232133210000
541331043200302204
61224345524400332
765624010011354
oct11514556374400
92311583164752
10663131650304
1123626158a902
12a86295460a8
134a6c11448c6
142414aa0d464
15123b24bbe1e
hex9a65b9f900

663131650304 has 72 divisors (see below), whose sum is σ = 1337717384640. Its totient is φ = 328052480000.

The previous prime is 663131650277. The next prime is 663131650327. The reversal of 663131650304 is 403056131366.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40301279 + ... + 40317729.

It is an arithmetic number, because the mean of its divisors is an integer number (18579408120).

Almost surely, 2663131650304 is an apocalyptic number.

663131650304 is a gapful number since it is divisible by the number (64) 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 663131650304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668858692320).

663131650304 is an abundant number, since it is smaller than the sum of its proper divisors (674585734336).

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

663131650304 is a wasteful number, since it uses less digits than its factorization.

663131650304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18127 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 663131650304 in words is "six hundred sixty-three billion, one hundred thirty-one million, six hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1559 1616 3118 3232 6236 6464 12472 12928 16451 24944 25856 32902 49888 65804 99776 131608 157459 199552 263216 314918 399104 526432 629836 1052864 1259672 1661551 2105728 2519344 3323102 4211456 5038688 6646204 10077376 13292408 20154752 25647109 26584816 40309504 51294218 53169632 102588436 106339264 205176872 212678528 410353744 425357056 820707488 1641414976 2590358009 3282829952 5180716018 6565659904 10361432036 20722864072 41445728144 82891456288 165782912576 331565825152 663131650304