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457561820493 = 32377119352951
BaseRepresentation
bin1101010100010001100…
…11110100110101001101
31121202001021021211020100
412222020303310311031
524444041311223433
6550111225441313
745025544205441
oct6521063646515
91552037254210
10457561820493
111670617a0078
1274818640239
13341bcc0285b
1418208cd8821
15bd80082b13
hex6a88cf4d4d

457561820493 has 24 divisors (see below), whose sum is σ = 688345796736. Its totient is φ = 292616604000.

The previous prime is 457561820491. The next prime is 457561820509. The reversal of 457561820493 is 394028165754.

It is a happy number.

457561820493 is a `hidden beast` number, since 4 + 5 + 75 + 6 + 1 + 82 + 0 + 493 = 666.

457561820493 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 457561820493 - 21 = 457561820491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457561820491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9652833 + ... + 9700118.

It is an arithmetic number, because the mean of its divisors is an integer number (28681074864).

It is a 1-persistent number, because it is pandigital, but 2⋅457561820493 = 915123640986 is not.

Almost surely, 2457561820493 is an apocalyptic number.

It is an amenable number.

457561820493 is a deficient number, since it is larger than the sum of its proper divisors (230783976243).

457561820493 is a wasteful number, since it uses less digits than its factorization.

457561820493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19353065 (or 19353062 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 457561820493 in words is "four hundred fifty-seven billion, five hundred sixty-one million, eight hundred twenty thousand, four hundred ninety-three".

Divisors: 1 3 9 37 71 111 213 333 639 2627 7881 23643 19352951 58058853 174176559 716059187 1374059521 2148177561 4122178563 6444532683 12366535689 50840202277 152520606831 457561820493