Search a number
-
+
57958106369 = 1915120201501
BaseRepresentation
bin110101111110100100…
…101000010100000001
312112121012101212021012
4311332210220110001
51422144233400434
642343043210305
74121153530022
oct657644502401
9175535355235
1057958106369
1122641927169
12b296076995
1356087053c7
142b3b610c49
1517933673ce
hexd7e928501

57958106369 has 8 divisors (see below), whose sum is σ = 61412566080. Its totient is φ = 54544050000.

The previous prime is 57958106329. The next prime is 57958106389. The reversal of 57958106369 is 96360185975.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57958106369 is a prime.

It is a super-2 number, since 2×579581063692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57958106329) 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, 10097882 + ... + 10103619.

It is an arithmetic number, because the mean of its divisors is an integer number (7676570760).

Almost surely, 257958106369 is an apocalyptic number.

It is an amenable number.

57958106369 is a deficient number, since it is larger than the sum of its proper divisors (3454459711).

57958106369 is a wasteful number, since it uses less digits than its factorization.

57958106369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201671.

The product of its (nonzero) digits is 12247200, while the sum is 59.

The spelling of 57958106369 in words is "fifty-seven billion, nine hundred fifty-eight million, one hundred six thousand, three hundred sixty-nine".

Divisors: 1 19 151 2869 20201501 383828519 3050426651 57958106369