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63030684416 = 287167210619
BaseRepresentation
bin111010101100111010…
…111110101100000000
320000200201100112012012
4322230322332230000
52013041323400131
644542250152052
74360646656220
oct725472765400
9200621315165
1063030684416
11248051a6127
1210270a22628
135c365c608b
14309d1a6080
15198d85852b
hexeacebeb00

63030684416 has 72 divisors (see below), whose sum is σ = 144650446080. Its totient is φ = 26851267584.

The previous prime is 63030684391. The next prime is 63030684427. The reversal of 63030684416 is 61448603036.

It is a super-2 number, since 2×630306844162 (a number of 22 digits) contains 22 as substring.

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, 193955 + ... + 404573.

Almost surely, 263030684416 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 63030684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72325223040).

63030684416 is an abundant number, since it is smaller than the sum of its proper divisors (81619761664).

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

63030684416 is a wasteful number, since it uses less digits than its factorization.

63030684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210809 (or 210795 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 63030684416 in words is "sixty-three billion, thirty million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 668 896 1169 1336 1792 2338 2672 4676 5344 9352 10688 18704 21376 37408 42752 74816 149632 210619 299264 421238 842476 1474333 1684952 2948666 3369904 5897332 6739808 11794664 13479616 23589328 26959232 35173373 47178656 53918464 70346746 94357312 140693492 188714624 246213611 281386984 377429248 492427222 562773968 984854444 1125547936 1969708888 2251095872 3939417776 4502191744 7878835552 9004383488 15757671104 31515342208 63030684416