Search a number
-
+
59902073001 = 3217247992
BaseRepresentation
bin110111110010011100…
…010001100010101001
312201121200022121011100
4313302130101202221
51440134412314001
643304005152013
74220300135151
oct676234214251
9181550277140
1059902073001
112344a182061
12b7390bb609
135858391114
142c83881761
151858d5c586
hexdf27118a9

59902073001 has 27 divisors (see below), whose sum is σ = 91933487191. Its totient is φ = 37577782464.

The previous prime is 59902072991. The next prime is 59902073003. The reversal of 59902073001 is 10037020995.

The square root of 59902073001 is 244749.

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

59902073001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46636562025 + 13265510976 = 215955^2 + 115176^2 .

It is not a de Polignac number, because 59902073001 - 25 = 59902072969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (59902073003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12479800 + ... + 12484598.

Almost surely, 259902073001 is an apocalyptic number.

59902073001 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

59902073001 is the 244749-th square number.

59902073001 is the 122375-th centered octagonal number.

It is an amenable number.

59902073001 is a deficient number, since it is larger than the sum of its proper divisors (32031414190).

59902073001 is an frugal number, since it uses more digits than its factorization.

59902073001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

Multiplying 59902073001 by its sum of digits (36), we get a square (2156474628036 = 14684942).

Adding to 59902073001 its reverse (10037020995), we get a palindrome (69939093996).

The spelling of 59902073001 in words is "fifty-nine billion, nine hundred two million, seventy-three thousand, one".

Divisors: 1 3 9 17 51 153 289 867 2601 4799 14397 43191 81583 244749 734247 1386911 4160733 12482199 23030401 69091203 207273609 391516817 1174550451 3523651353 6655785889 19967357667 59902073001