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1005136457 = 13235916567
BaseRepresentation
bin111011111010010…
…010101001001001
32121001100020000012
4323322102221021
54024303331312
6243423321305
733623342663
oct7372225111
92531306005
101005136457
11476411996
12240750235
13130318100
14976c7533
155d398322
hex3be92a49

1005136457 has 12 divisors (see below), whose sum is σ = 1091499840. Its totient is φ = 925177968.

The previous prime is 1005136453. The next prime is 1005136507. The reversal of 1005136457 is 7546315001.

It is not a de Polignac number, because 1005136457 - 22 = 1005136453 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005136453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52388 + ... + 68954.

It is an arithmetic number, because the mean of its divisors is an integer number (90958320).

Almost surely, 21005136457 is an apocalyptic number.

It is an amenable number.

1005136457 is a deficient number, since it is larger than the sum of its proper divisors (86363383).

1005136457 is a wasteful number, since it uses less digits than its factorization.

1005136457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1005136457 is about 31703.8870960644. The cubic root of 1005136457 is about 1001.7092292044.

The spelling of 1005136457 in words is "one billion, five million, one hundred thirty-six thousand, four hundred fifty-seven".

Divisors: 1 13 169 359 4667 16567 60671 215371 2799823 5947553 77318189 1005136457