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10810684416 = 21037502729
BaseRepresentation
bin10100001000101110…
…11111010000000000
31000220102012200002010
422010113133100000
5134120013400131
64544422252520
7531620205240
oct120427372000
930812180063
1010810684416
114648393234
122118587140
1310339415ac
14747aadb20
15434145b46
hex2845df400

10810684416 has 88 divisors (see below), whose sum is σ = 32930825920. Its totient is φ = 3088760832.

The previous prime is 10810684399. The next prime is 10810684427. The reversal of 10810684416 is 61448601801.

It is a super-2 number, since 2×108106844162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 229861 + ... + 272868.

Almost surely, 210810684416 is an apocalyptic number.

10810684416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10810684416 is an abundant number, since it is smaller than the sum of its proper divisors (22120141504).

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

10810684416 is an equidigital number, since it uses as much as digits as its factorization.

10810684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502759 (or 502741 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 10810684416 in words is "ten billion, eight hundred ten million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 502729 1005458 1508187 2010916 3016374 3519103 4021832 6032748 7038206 8043664 10557309 12065496 14076412 16087328 21114618 24130992 28152824 32174656 42229236 48261984 56305648 64349312 84458472 96523968 112611296 128698624 168916944 193047936 225222592 257397248 337833888 386095872 450445184 514794496 675667776 772191744 900890368 1351335552 1544383488 1801780736 2702671104 3603561472 5405342208 10810684416