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10752733407 = 3131012729813
BaseRepresentation
bin10100000001110100…
…11011000011011111
31000202101011110020110
422000322123003133
5134010144432112
64534552221103
7530314503663
oct120072330337
930671143213
1010752733407
114618701839
12210109a793
131024931160
147401068a3
1542deea13c
hex280e9b0df

10752733407 has 16 divisors (see below), whose sum is σ = 15592697568. Its totient is φ = 6551548800.

The previous prime is 10752733399. The next prime is 10752733423. The reversal of 10752733407 is 70433725701.

10752733407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10752733407 - 23 = 10752733399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752733507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1360968 + ... + 1368845.

It is an arithmetic number, because the mean of its divisors is an integer number (974543598).

Almost surely, 210752733407 is an apocalyptic number.

10752733407 is a deficient number, since it is larger than the sum of its proper divisors (4839964161).

10752733407 is a wasteful number, since it uses less digits than its factorization.

10752733407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729930.

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 10752733407 in words is "ten billion, seven hundred fifty-two million, seven hundred thirty-three thousand, four hundred seven".

Divisors: 1 3 13 39 101 303 1313 3939 2729813 8189439 35487569 106462707 275711113 827133339 3584244469 10752733407