Search a number
-
+
151626342213 = 32377310161757
BaseRepresentation
bin1000110100110110100…
…0100101111101000101
3112111101002201020222100
42031031220211331011
54441012320422323
6153353422422313
713645304433513
oct2151550457505
9474332636870
10151626342213
1159339132125
1225477431999
13113b54a9328
1474a57814b3
153e26783943
hex234da25f45

151626342213 has 48 divisors (see below), whose sum is σ = 230277795696. Its totient is φ = 96042931200.

The previous prime is 151626342191. The next prime is 151626342221. The reversal of 151626342213 is 312243626151.

151626342213 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 2 + 634 + 2 + 2 + 13 = 666.

151626342213 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 8 ways, for example, as 18183713409 + 133442628804 = 134847^2 + 365298^2 .

It is not a de Polignac number, because 151626342213 - 29 = 151626341701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151626342313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424331 + ... + 2486087.

It is an arithmetic number, because the mean of its divisors is an integer number (4797454077).

Almost surely, 2151626342213 is an apocalyptic number.

It is an amenable number.

151626342213 is a deficient number, since it is larger than the sum of its proper divisors (78651453483).

151626342213 is a wasteful number, since it uses less digits than its factorization.

151626342213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61974 (or 61971 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 151626342213 its reverse (312243626151), we get a palindrome (463869968364).

The spelling of 151626342213 in words is "one hundred fifty-one billion, six hundred twenty-six million, three hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 9 37 73 101 111 219 303 333 657 909 2701 3737 7373 8103 11211 22119 24309 33633 61757 66357 185271 272801 555813 818403 2285009 2455209 4508261 6237457 6855027 13524783 18712371 20565081 40574349 56137113 166805657 230785909 455334361 500416971 692357727 1366003083 1501250913 2077073181 4098009249 16847371357 50542114071 151626342213