Search a number
-
+
48208350096 = 24361921072
BaseRepresentation
bin101100111001011100…
…010000101110010000
311121102201111221000000
4230321130100232100
51242212314200341
634051400130000
73324435133434
oct547134205620
9147381457000
1048208350096
11194993a1a55
129414a66900
13471381455a
1424947cc9c4
1513c243a8b6
hexb39710b90

48208350096 has 315 divisors, whose sum is σ = 149194201611. Its totient is φ = 15081412032.

The previous prime is 48208350053. The next prime is 48208350107. The reversal of 48208350096 is 69005380284.

The square root of 48208350096 is 219564.

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

48208350096 is a `hidden beast` number, since 4 + 8 + 208 + 350 + 0 + 96 = 666.

It is a super-3 number, since 3×482083500963 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 450545275 + ... + 450545381.

Almost surely, 248208350096 is an apocalyptic number.

48208350096 is the 219564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48208350096

48208350096 is an abundant number, since it is smaller than the sum of its proper divisors (100985851515).

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

48208350096 is an equidigital number, since it uses as much as digits as its factorization.

48208350096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48208350096 in words is "forty-eight billion, two hundred eight million, three hundred fifty thousand, ninety-six".