Search a number
-
+
73106002037 = 1753136159617
BaseRepresentation
bin100010000010101110…
…1010001000001110101
320222200212211200200002
41010011131101001311
52144210114031122
653330123201045
75165430523115
oct1040535210165
9228625750602
1073106002037
1129005483402
1212203076185
136b80a94593
143777333045
151d7d142992
hex1105751075

73106002037 has 16 divisors (see below), whose sum is σ = 78926123952. Its totient is φ = 67456696320.

The previous prime is 73106002031. The next prime is 73106002063. The reversal of 73106002037 is 73020060137.

It can be written as a sum of positive squares in 8 ways, for example, as 13132930801 + 59973071236 = 114599^2 + 244894^2 .

It is not a de Polignac number, because 73106002037 - 28 = 73106001781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73106002031) 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, 1196453 + ... + 1256069.

It is an arithmetic number, because the mean of its divisors is an integer number (4932882747).

Almost surely, 273106002037 is an apocalyptic number.

It is an amenable number.

73106002037 is a deficient number, since it is larger than the sum of its proper divisors (5820121915).

73106002037 is a wasteful number, since it uses less digits than its factorization.

73106002037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61048.

The product of its (nonzero) digits is 5292, while the sum is 29.

The spelling of 73106002037 in words is "seventy-three billion, one hundred six million, two thousand, thirty-seven".

Divisors: 1 17 53 901 1361 23137 59617 72133 1013489 1226261 3159701 53714917 81138737 1379358529 4300353061 73106002037