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63608875264 = 2811214332
BaseRepresentation
bin111011001111011000…
…100110100100000000
320002012000022122221001
4323033120212210000
52020232333002024
645115502541344
74411200342634
oct731730464400
9202160278831
1063608875264
1124a81608500
12103b2597854
135cc9326c3c
143115cb2dc4
1519c44b9244
hexecf626900

63608875264 has 81 divisors (see below), whose sum is σ = 139658731849. Its totient is φ = 28892948480.

The previous prime is 63608875259. The next prime is 63608875289. The reversal of 63608875264 is 46257880636.

The square root of 63608875264 is 252208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52752902400 + 10855972864 = 229680^2 + 104192^2 .

It is a super-2 number, since 2×636088752642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44387892 + ... + 44389324.

Almost surely, 263608875264 is an apocalyptic number.

63608875264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63608875264 is the 252208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63608875264

63608875264 is an abundant number, since it is smaller than the sum of its proper divisors (76049856585).

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

63608875264 is an frugal number, since it uses more digits than its factorization.

63608875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 63608875264 in words is "sixty-three billion, six hundred eight million, eight hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1433 1936 2816 2866 3872 5732 7744 11464 15488 15763 22928 30976 31526 45856 63052 91712 126104 173393 183424 252208 346786 366848 504416 693572 1008832 1387144 2017664 2053489 2774288 4035328 4106978 5548576 8213956 11097152 16427912 22194304 22588379 32855824 44388608 45176758 65711648 90353516 131423296 180707032 248472169 262846592 361414064 496944338 525693184 722828128 993888676 1445656256 1987777352 2891312512 3975554704 5782625024 7951109408 15902218816 31804437632 63608875264