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1077657013 = 1724386719
BaseRepresentation
bin100000000111011…
…1011110110110101
32210002210122111201
41000032323312311
54201340011023
6254533532501
735463635116
oct10016736665
92702718451
101077657013
11503344734
12260aa4131
13142359c94
14a31a420d
1564920bad
hex403bbdb5

1077657013 has 12 divisors (see below), whose sum is σ = 1171413760. Its totient is φ = 990666432.

The previous prime is 1077656947. The next prime is 1077657017. The reversal of 1077657013 is 3107567701.

It is a happy number.

It is not a de Polignac number, because 1077657013 - 221 = 1075559861 is a prime.

It is a super-2 number, since 2×10776570132 = 2322689275336164338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077657017) 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 11 ways as a sum of consecutive naturals, for example, 30933 + ... + 55786.

Almost surely, 21077657013 is an apocalyptic number.

It is an amenable number.

1077657013 is a deficient number, since it is larger than the sum of its proper divisors (93756747).

1077657013 is an equidigital number, since it uses as much as digits as its factorization.

1077657013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86796 (or 86779 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 37.

The square root of 1077657013 is about 32827.6866836517. The cubic root of 1077657013 is about 1025.2430953852.

The spelling of 1077657013 in words is "one billion, seventy-seven million, six hundred fifty-seven thousand, thirteen".

Divisors: 1 17 43 289 731 12427 86719 1474223 3728917 25061791 63391589 1077657013