Search a number
-
+
247240885248 = 2103472127479
BaseRepresentation
bin1110011001000010110…
…1001000010000000000
3212122011122100022020000
43212100231020100000
513022322131311443
6305325250120000
723601600564300
oct3462055102000
9778148308200
10247240885248
1195944041525
123bb00580000
131a412578406
14bd761d1600
1566709a88d3
hex3990b48400

247240885248 has 660 divisors, whose sum is σ = 867419688960. Its totient is φ = 69937717248.

The previous prime is 247240885223. The next prime is 247240885273. The reversal of 247240885248 is 842588042742.

It is a happy number.

247240885248 is a `hidden beast` number, since 2 + 4 + 72 + 40 + 8 + 8 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (247240885223) and next prime (247240885273).

It is a super-2 number, since 2×2472408852482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 247240885194 and 247240885203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 516160273 + ... + 516160751.

It is an arithmetic number, because the mean of its divisors is an integer number (1314272256).

Almost surely, 2247240885248 is an apocalyptic number.

247240885248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247240885248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433709844480).

247240885248 is an abundant number, since it is smaller than the sum of its proper divisors (620178803712).

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

247240885248 is a wasteful number, since it uses less digits than its factorization.

247240885248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 247240885248 in words is "two hundred forty-seven billion, two hundred forty million, eight hundred eighty-five thousand, two hundred forty-eight".