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630347075136 = 2634110272
BaseRepresentation
bin10010010110000111001…
…11010000111001000000
32020021000222020012110000
421023003213100321000
540311422322401021
61201324421240000
763353405506512
oct11130347207100
92207028205400
10630347075136
11223368544289
12a21b9b63000
1347597bc33bc
142271a837bb2
15115e41a3b26
hex92c39d0e40

630347075136 has 105 divisors (see below), whose sum is σ = 1868715667819. Its totient is φ = 210096637056.

The previous prime is 630347075009. The next prime is 630347075177. The reversal of 630347075136 is 631570743036.

It is a happy number.

The square root of 630347075136 is 793944.

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

630347075136 is a `hidden beast` number, since 6 + 30 + 34 + 70 + 7 + 513 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 630347075091 and 630347075100.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 57158455 + ... + 57169481.

Almost surely, 2630347075136 is an apocalyptic number.

630347075136 is the 793944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630347075136

630347075136 is an abundant number, since it is smaller than the sum of its proper divisors (1238368592683).

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

630347075136 is an frugal number, since it uses more digits than its factorization.

630347075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22078 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 630347075136 in words is "six hundred thirty billion, three hundred forty-seven million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11027 22054 33081 44108 66162 88216 99243 132324 176432 198486 264648 297729 352864 396972 529296 595458 705728 793944 893187 1058592 1190916 1587888 1786374 2117184 2381832 3175776 3572748 4763664 6351552 7145496 9527328 14290992 19054656 28581984 57163968 121594729 243189458 364784187 486378916 729568374 972757832 1094352561 1459136748 1945515664 2188705122 2918273496 3283057683 3891031328 4377410244 5836546992 6566115366 7782062656 8754820488 9849173049 11673093984 13132230732 17509640976 19698346098 23346187968 26264461464 35019281952 39396692196 52528922928 70038563904 78793384392 105057845856 157586768784 210115691712 315173537568 630347075136