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1057186013 = 13591378339
BaseRepresentation
bin111111000000110…
…110000011011101
32201200021121120112
4333000312003131
54131114423023
6252523055405
735124634652
oct7700660335
92650247515
101057186013
114a2832554
12256071565
1313b040370
14a0595c29
1562c2a478
hex3f0360dd

1057186013 has 8 divisors (see below), whose sum is σ = 1157805600. Its totient is φ = 959323248.

The previous prime is 1057185991. The next prime is 1057186019. The reversal of 1057186013 is 3106817501.

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

It is not a de Polignac number, because 1057186013 - 26 = 1057185949 is a prime.

It is a super-2 number, since 2×10571860132 = 2235284532165672338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057186019) 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, 688403 + ... + 689936.

It is an arithmetic number, because the mean of its divisors is an integer number (144725700).

Almost surely, 21057186013 is an apocalyptic number.

1057186013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057186013 is a deficient number, since it is larger than the sum of its proper divisors (100619587).

1057186013 is a wasteful number, since it uses less digits than its factorization.

1057186013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378411.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1057186013 is about 32514.3970111703. The cubic root of 1057186013 is about 1018.7097658443.

The spelling of 1057186013 in words is "one billion, fifty-seven million, one hundred eighty-six thousand, thirteen".

Divisors: 1 13 59 767 1378339 17918407 81322001 1057186013