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1057020000661 = 10113217922441
BaseRepresentation
bin11110110000110110100…
…11010011100110010101
310202001100112121120122101
433120123103103212111
5114304234110010121
62125331023002101
7136236640522012
oct17303323234625
93661315546571
101057020000661
11378309263389
12150a35a39331
13788a4524cc1
143923521c709
151c767576491
hexf61b4d3995

1057020000661 has 8 divisors (see below), whose sum is σ = 1068293769048. Its totient is φ = 1045762080000.

The previous prime is 1057020000611. The next prime is 1057020000671. The reversal of 1057020000661 is 1660000207501.

It can be written as a sum of positive squares in 4 ways, for example, as 949357922500 + 107662078161 = 974350^2 + 328119^2 .

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

It is not a de Polignac number, because 1057020000661 - 215 = 1057019967893 is a prime.

It is a super-2 number, since 2×10570200006612 (a number of 25 digits) 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 (1057020000611) 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, 3827800 + ... + 4094641.

It is an arithmetic number, because the mean of its divisors is an integer number (133536721131).

Almost surely, 21057020000661 is an apocalyptic number.

It is an amenable number.

1057020000661 is a deficient number, since it is larger than the sum of its proper divisors (11273768387).

1057020000661 is a wasteful number, since it uses less digits than its factorization.

1057020000661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923863.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 1057020000661 in words is "one trillion, fifty-seven billion, twenty million, six hundred sixty-one", and thus it is an aban number.

Divisors: 1 101 1321 133421 7922441 800166541 10465544561 1057020000661