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10730035456 = 28731193153
BaseRepresentation
bin10011111111000111…
…10101100100000000
31000200210110021111121
421333203311210000
5133433342113311
64532421522024
7526620540130
oct117743654400
930623407447
1010730035456
1146069094a8
1220b5573314
131020014a0a
1473b0b8ac0
1542c014b71
hex27f8f5900

10730035456 has 72 divisors (see below), whose sum is σ = 25267633664. Its totient is φ = 4450222080.

The previous prime is 10730035441. The next prime is 10730035493. The reversal of 10730035456 is 65453003701.

10730035456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41025 + ... + 152128.

Almost surely, 210730035456 is an apocalyptic number.

10730035456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10730035456 is an abundant number, since it is smaller than the sum of its proper divisors (14537598208).

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

10730035456 is an equidigital number, since it uses as much as digits as its factorization.

10730035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193207 (or 193193 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 10730035456 in words is "ten billion, seven hundred thirty million, thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 55552 193153 386306 772612 1352071 1545224 2704142 3090448 5408284 5987743 6180896 10816568 11975486 12361792 21633136 23950972 24723584 41914201 43266272 47901944 49447168 83828402 86532544 95803888 167656804 173065088 191607776 335313608 346130176 383215552 670627216 766431104 1341254432 1532862208 2682508864 5365017728 10730035456