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6145790436 = 223418968489
BaseRepresentation
bin1011011100101000…
…10101000111100100
3120212022101111120000
411232110111013210
5100041310243221
62453501341300
7305204233242
oct55624250744
916768344500
106145790436
112674158355
121236267830
1376c3528b6
1442431d792
1525e834e26
hex16e5151e4

6145790436 has 30 divisors (see below), whose sum is σ = 16066311030. Its totient is φ = 2048596704.

The previous prime is 6145790423. The next prime is 6145790447. The reversal of 6145790436 is 6340975416.

6145790436 is a `hidden beast` number, since 6 + 145 + 79 + 0 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6083064036 + 62726400 = 77994^2 + 7920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6145790391 and 6145790400.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9483921 + ... + 9484568.

It is an arithmetic number, because the mean of its divisors is an integer number (535543701).

Almost surely, 26145790436 is an apocalyptic number.

It is an amenable number.

6145790436 is an abundant number, since it is smaller than the sum of its proper divisors (9920520594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6145790436 is a wasteful number, since it uses less digits than its factorization.

6145790436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18968505 (or 18968494 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6145790436 is about 78395.0919126957. The cubic root of 6145790436 is about 1831.7206820554.

The spelling of 6145790436 in words is "six billion, one hundred forty-five million, seven hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 18968489 37936978 56905467 75873956 113810934 170716401 227621868 341432802 512149203 682865604 1024298406 1536447609 2048596812 3072895218 6145790436