Search a number
-
+
247631472000000 = 21033561131412
BaseRepresentation
bin111000010011100000110001…
…111011000111110000000000
31012110210100010001111100112000
4320103200301323013300000
5224424143223313000000
62234400154443504000
7103105532503154604
oct7023406173076000
91173710101440460
10247631472000000
11719a2a10228710
122393477ab28000
13a823717141c6a
1445215da319504
151d966e22ba000
hexe13831ec7c00

247631472000000 has 3696 divisors, whose sum is σ = 1058080756392960. Its totient is φ = 56678400000000.

The previous prime is 247631471999993. The next prime is 247631472000061. The reversal of 247631472000000 is 274136742.

It is a super-2 number, since 2×2476314720000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6039791999980 + ... + 6039792000020.

Almost surely, 2247631472000000 is an apocalyptic number.

247631472000000 is a gapful number since it is divisible by the number (20) 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 247631472000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529040378196480).

247631472000000 is an abundant number, since it is smaller than the sum of its proper divisors (810449284392960).

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

247631472000000 is an frugal number, since it uses more digits than its factorization.

247631472000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 247631472000000 in words is "two hundred forty-seven trillion, six hundred thirty-one billion, four hundred seventy-two million", and thus it is an aban number.