Search a number
-
+
10706782993 is a prime number
BaseRepresentation
bin10011111100010110…
…01000101100010001
31000122011200221010021
421332023020230101
5133411414023433
64530231303441
7526216103524
oct117613105421
930564627107
1010706782993
1145a4777595
1220a981ab81
13101826306a
14737d84bbb
15429e7022d
hex27e2c8b11

10706782993 has 2 divisors, whose sum is σ = 10706782994. Its totient is φ = 10706782992.

The previous prime is 10706782949. The next prime is 10706782997. The reversal of 10706782993 is 39928760701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10657052289 + 49730704 = 103233^2 + 7052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10706782993 - 29 = 10706782481 is a prime.

It is a super-2 number, since 2×107067829932 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10706782993.

It is not a weakly prime, because it can be changed into another prime (10706782997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5353391496 + 5353391497.

It is an arithmetic number, because the mean of its divisors is an integer number (5353391497).

Almost surely, 210706782993 is an apocalyptic number.

It is an amenable number.

10706782993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10706782993 is an equidigital number, since it uses as much as digits as its factorization.

10706782993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 10706782993 in words is "ten billion, seven hundred six million, seven hundred eighty-two thousand, nine hundred ninety-three".