Search a number
-
+
326968780248 = 23351131716947
BaseRepresentation
bin1001100001000001101…
…10111010010111011000
31011020222000110000100000
410300200312322113120
520324113001431443
6410112443413000
732423406526665
oct4604066722730
91136860400300
10326968780248
11116737397040
1253451224160
1324aaa1cb246
1411b7ab78a6c
15878a1288d3
hex4c20dba5d8

326968780248 has 384 divisors, whose sum is σ = 1048856739840. Its totient is φ = 94521168000.

The previous prime is 326968780241. The next prime is 326968780291. The reversal of 326968780248 is 842087869623.

326968780248 is a `hidden beast` number, since 3 + 269 + 68 + 78 + 0 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326968780241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47062711 + ... + 47069657.

It is an arithmetic number, because the mean of its divisors is an integer number (2731397760).

Almost surely, 2326968780248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326968780248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524428369920).

326968780248 is an abundant number, since it is smaller than the sum of its proper divisors (721887959592).

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

326968780248 is a wasteful number, since it uses less digits than its factorization.

326968780248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 326968780248 in words is "three hundred twenty-six billion, nine hundred sixty-eight million, seven hundred eighty thousand, two hundred forty-eight".