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5630607936 = 263213771353
BaseRepresentation
bin1010011111001110…
…00100001001000000
3112112101222112000200
411033213010021000
543012413423221
62330415245200
7256350243402
oct51747041100
915471875020
105630607936
11242a371098
121111819800
136b96b3095
143b5b34b72
1522e4bd426
hex14f9c4240

5630607936 has 84 divisors (see below), whose sum is σ = 16257152652. Its totient is φ = 1863143424.

The previous prime is 5630607901. The next prime is 5630607959. The reversal of 5630607936 is 6397060365.

5630607936 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 607 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4860878400 + 769729536 = 69720^2 + 27744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5630607891 and 5630607900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43236 + ... + 114588.

Almost surely, 25630607936 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 5630607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128576326).

5630607936 is an abundant number, since it is smaller than the sum of its proper divisors (10626544716).

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

5630607936 is a wasteful number, since it uses less digits than its factorization.

5630607936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71508 (or 71495 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 5630607936 is about 75037.3769264358. The cubic root of 5630607936 is about 1779.0374731311.

The spelling of 5630607936 in words is "five billion, six hundred thirty million, six hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 71353 78912 142706 214059 285412 428118 570824 642177 856236 1141648 1284354 1712472 2283296 2568708 3424944 4566592 5137416 6849888 9775361 10274832 13699776 19550722 20549664 29326083 39101444 41099328 58652166 78202888 87978249 117304332 156405776 175956498 234608664 312811552 351912996 469217328 625623104 703825992 938434656 1407651984 1876869312 2815303968 5630607936