Search a number
-
+
48072316516 = 2272156612
BaseRepresentation
bin101100110001010101…
…010101011001100100
311121002020112201000021
4230301111111121210
51241423003112031
634030100324524
73321163643200
oct546125253144
9147066481007
1048072316516
1119429629a04
1293973a3744
1346c1595703
1424806dbb00
1513b5519511
hexb31555664

48072316516 has 27 divisors (see below), whose sum is σ = 97867750617. Its totient is φ = 20601105840.

The previous prime is 48072316483. The next prime is 48072316519. The reversal of 48072316516 is 61561327084.

The square root of 48072316516 is 219254.

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., 47631316516 + 441000000 = 218246^2 + 21000^2 .

It is a super-3 number, since 3×480723165163 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48072316519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3061726 + ... + 3077386.

Almost surely, 248072316516 is an apocalyptic number.

48072316516 is the 219254-th square number.

It is an amenable number.

48072316516 is an abundant number, since it is smaller than the sum of its proper divisors (49795434101).

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

48072316516 is an frugal number, since it uses more digits than its factorization.

48072316516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31340 (or 15670 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 48072316516 in words is "forty-eight billion, seventy-two million, three hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 15661 31322 62644 109627 219254 438508 767389 1534778 3069556 245266921 490533842 981067684 1716868447 3433736894 6867473788 12018079129 24036158258 48072316516