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4185420037 = 31314819029
BaseRepresentation
bin1111100101111000…
…0111000100000101
3101210200121100220221
43321132013010011
532032431420122
61531152024341
7205501324531
oct37136070405
911720540827
104185420037
111858619027
129898320b1
13519172606
142b9c1cbc1
1519769e6c7
hexf9787105

4185420037 has 8 divisors (see below), whose sum is σ = 4202092440. Its totient is φ = 4168769280.

The previous prime is 4185420013. The next prime is 4185420049. The reversal of 4185420037 is 7300245814.

4185420037 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 563065441 + 3622354596 = 23729^2 + 60186^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4185420037 - 223 = 4177031429 is a prime.

It is a super-2 number, since 2×41854200372 = 35035481772242162738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4185419984 and 4185420011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185424037) 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, 459039 + ... + 468067.

It is an arithmetic number, because the mean of its divisors is an integer number (525261555).

Almost surely, 24185420037 is an apocalyptic number.

It is an amenable number.

4185420037 is a deficient number, since it is larger than the sum of its proper divisors (16672403).

4185420037 is a wasteful number, since it uses less digits than its factorization.

4185420037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4185420037 is about 64694.8223353307. The cubic root of 4185420037 is about 1611.5595188160.

The spelling of 4185420037 in words is "four billion, one hundred eighty-five million, four hundred twenty thousand, thirty-seven".

Divisors: 1 313 1481 9029 463553 2826077 13371949 4185420037