Search a number
-
+
1349477188900 = 22521161672
BaseRepresentation
bin10011101000110011000…
…110111100010100100100
311210000020101102001211221
4103220303012330110210
5134102212130021100
62511535151310124
7166332205562461
oct23506306742444
94700211361757
101349477188900
11480345768555
1219965521b344
139a341756289
144945a6a6668
152518294801a
hex13a331bc524

1349477188900 has 27 divisors (see below), whose sum is σ = 2928390708369. Its totient is φ = 539786228880.

The previous prime is 1349477188889. The next prime is 1349477188903. The reversal of 1349477188900 is 98817749431.

The square root of 1349477188900 is 1161670.

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

It can be written as a sum of positive squares in only one way, i.e., 485811788004 + 863665400896 = 697002^2 + 929336^2 .

It is a super-2 number, since 2×13494771889002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1349477188903) 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 8 ways as a sum of consecutive naturals, for example, 11558617 + ... + 11674783.

Almost surely, 21349477188900 is an apocalyptic number.

1349477188900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1349477188900 is the 1161670-th square number.

It is an amenable number.

1349477188900 is an abundant number, since it is smaller than the sum of its proper divisors (1578913519469).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1349477188900 is an frugal number, since it uses more digits than its factorization.

1349477188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232348 (or 116174 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 61.

The spelling of 1349477188900 in words is "one trillion, three hundred forty-nine billion, four hundred seventy-seven million, one hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 116167 232334 464668 580835 1161670 2323340 2904175 5808350 11616700 13494771889 26989543778 53979087556 67473859445 134947718890 269895437780 337369297225 674738594450 1349477188900