Search a number
-
+
57201681269739 = 3591103292994869
BaseRepresentation
bin11010000000110010011011…
…11001001000001111101011
321111112102112112000021112010
431000121031321020033223
524444143020401112424
6321354031204251003
715022453662250356
oct1500311571101753
9244472475007463
1057201681269739
1117254107917456
1264ba09b3a0a63
1325bc131789826
14101a80cd2d29d
15692e311d7229
hex34064de483eb

57201681269739 has 16 divisors (see below), whose sum is σ = 77631920755200. Its totient is φ = 37454119966176.

The previous prime is 57201681269723. The next prime is 57201681269743. The reversal of 57201681269739 is 93796218610275.

It is a happy number.

It is not a de Polignac number, because 57201681269739 - 24 = 57201681269723 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57201681269739.

It is not an unprimeable number, because it can be changed into a prime (57201681269539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146302204 + ... + 146692665.

It is an arithmetic number, because the mean of its divisors is an integer number (4851995047200).

Almost surely, 257201681269739 is an apocalyptic number.

57201681269739 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

57201681269739 is a deficient number, since it is larger than the sum of its proper divisors (20430239485461).

57201681269739 is a wasteful number, since it uses less digits than its factorization.

57201681269739 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292996034.

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 57201681269739 in words is "fifty-seven trillion, two hundred one billion, six hundred eighty-one million, two hundred sixty-nine thousand, seven hundred thirty-nine".

Divisors: 1 3 59 177 1103 3309 65077 195231 292994869 878984607 17286697271 51860091813 323173340507 969520021521 19067227089913 57201681269739