Search a number
-
+
137078422186181 = 73110315433974717
BaseRepresentation
bin11111001010110000001110…
…101010010010100011000101
3122222100120100221011002111012
4133022300032222102203011
5120431343102034424211
61203312542515052005
740605406042436210
oct3712601652224305
9588316327132435
10137078422186181
113a74a6a5773793
121345a8722a1005
135b6459417a078
1425bc8b97b2777
1510caace99ad8b
hex7cac0ea928c5

137078422186181 has 32 divisors (see below), whose sum is σ = 163390545297408. Its totient is φ = 112528661641920.

The previous prime is 137078422186129. The next prime is 137078422186193. The reversal of 137078422186181 is 181681224870731.

It is a cyclic number.

It is not a de Polignac number, because 137078422186181 - 26 = 137078422186117 is a prime.

It is a super-2 number, since 2×1370784221861812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137078422186181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137078422180181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32500235 + ... + 36474951.

It is an arithmetic number, because the mean of its divisors is an integer number (5105954540544).

Almost surely, 2137078422186181 is an apocalyptic number.

It is an amenable number.

137078422186181 is a deficient number, since it is larger than the sum of its proper divisors (26312123111227).

137078422186181 is a wasteful number, since it uses less digits than its factorization.

137078422186181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976401.

The product of its (nonzero) digits is 7225344, while the sum is 59.

The spelling of 137078422186181 in words is "one hundred thirty-seven trillion, seventy-eight billion, four hundred twenty-two million, one hundred eighty-six thousand, one hundred eighty-one".

Divisors: 1 7 31 103 217 721 1543 3193 10801 22351 47833 158929 334831 1112503 3974717 4926799 27823019 34487593 123216227 409395851 862513589 2865770957 6132988331 12691271381 42930918317 88838899667 190122638261 631697798093 1330858467827 4421884586651 19582631740883 137078422186181