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1057418661 = 31327113299
BaseRepresentation
bin111111000001101…
…110110110100101
32201200201102201010
4333001232312211
54131144344121
6252532052433
735126624145
oct7701566645
92650642633
101057418661
114a2981322
12256164119
1313b0c2220
14a0616925
1562c74376
hex3f06eda5

1057418661 has 8 divisors (see below), whose sum is σ = 1518344800. Its totient is φ = 650719152.

The previous prime is 1057418657. The next prime is 1057418689. The reversal of 1057418661 is 1668147501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1057418661 - 22 = 1057418657 is a prime.

It is a super-2 number, since 2×10574186612 = 2236268449262065842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 27113299 = 1057418661 / (1 + 0 + 5 + 7 + 4 + 1 + 8 + 6 + 6 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057418611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13556611 + ... + 13556688.

It is an arithmetic number, because the mean of its divisors is an integer number (189793100).

Almost surely, 21057418661 is an apocalyptic number.

It is an amenable number.

1057418661 is a deficient number, since it is larger than the sum of its proper divisors (460926139).

1057418661 is a wasteful number, since it uses less digits than its factorization.

1057418661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27113315.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1057418661 is about 32517.9744295367. The cubic root of 1057418661 is about 1018.7844872915.

The spelling of 1057418661 in words is "one billion, fifty-seven million, four hundred eighteen thousand, six hundred sixty-one".

Divisors: 1 3 13 39 27113299 81339897 352472887 1057418661