Search a number
-
+
57425891769 = 322341512
BaseRepresentation
bin110101011110110110…
…011001000110111001
312111020002221120002100
4311132312121012321
51420102012014034
642214152054013
74102032011661
oct653666310671
9174202846070
1057425891769
1122399467494
12b167994309
13555238131c
142acaa711a1
151761789099
hexd5ed991b9

57425891769 has 45 divisors (see below), whose sum is σ = 87296984229. Its totient is φ = 36376896600.

The previous prime is 57425891737. The next prime is 57425891779. The reversal of 57425891769 is 96719852475.

The square root of 57425891769 is 239637.

It is a perfect power (a square), and thus also a powerful number.

57425891769 is a `hidden beast` number, since 5 + 7 + 42 + 589 + 1 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 57425891769 - 25 = 57425891737 is a prime.

It is a super-2 number, since 2×574258917692 (a number of 22 digits) contains 22 as substring.

Its product of digits (38102400) is a multiple of the sum of its prime factors (400).

It is not an unprimeable number, because it can be changed into a prime (57425891779) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 380303844 + ... + 380303994.

Almost surely, 257425891769 is an apocalyptic number.

57425891769 is the 239637-th square number.

57425891769 is the 119819-th centered octagonal number.

It is an amenable number.

57425891769 is a deficient number, since it is larger than the sum of its proper divisors (29871092460).

57425891769 is an frugal number, since it uses more digits than its factorization.

57425891769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 177 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 57425891769 in words is "fifty-seven billion, four hundred twenty-five million, eight hundred ninety-one thousand, seven hundred sixty-nine".

Divisors: 1 3 9 23 69 151 207 453 529 1359 1587 3473 4761 10419 12167 22801 31257 36501 68403 79879 109503 205209 239637 279841 524423 718911 839523 1573269 1837217 2518569 4719807 5511651 12061729 16534953 36185187 42255991 108555561 126767973 277419767 380303919 832259301 2496777903 6380654641 19141963923 57425891769