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457010000601 = 37112137925783
BaseRepresentation
bin1101010011001111110…
…10110011001011011001
31121200121210221110122120
412221213322303023121
524441424030004401
6545540354211453
745006063624210
oct6514772631331
91550553843576
10457010000601
111668a925a680
12746a3883b89
13341327a5bcb
14181958d4077
15bd4b8d0836
hex6a67eb32d9

457010000601 has 32 divisors (see below), whose sum is σ = 760061257728. Its totient is φ = 237296442240.

The previous prime is 457010000581. The next prime is 457010000611. The reversal of 457010000601 is 106000010754.

It is not a de Polignac number, because 457010000601 - 29 = 457010000089 is a prime.

It is a super-2 number, since 2×4570100006012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457010000611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30756 + ... + 956538.

It is an arithmetic number, because the mean of its divisors is an integer number (23751914304).

Almost surely, 2457010000601 is an apocalyptic number.

It is an amenable number.

457010000601 is a deficient number, since it is larger than the sum of its proper divisors (303051257127).

457010000601 is a wasteful number, since it uses less digits than its factorization.

457010000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927941.

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 457010000601 in words is "four hundred fifty-seven billion, ten million, six hundred one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 231 2137 6411 14959 23507 44877 70521 164549 493647 925783 2777349 6480481 10183613 19441443 30550839 71285291 213855873 1978398271 5935194813 13848787897 21762380981 41546363691 65287142943 152336666867 457010000601