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242690950656 = 29357311247
BaseRepresentation
bin1110001000000110000…
…0100000011000000000
3212012102112211200100000
43202001200200120000
512434012340410111
6303253553200000
723351052021000
oct3420140403000
9765375750300
10242690950656
1193a19795300
123b050860000
1319b68a3a21b
14ba63c08000
1564a6304c56
hex3881820600

242690950656 has 1440 divisors, whose sum is σ = 950889139200. Its totient is φ = 61695406080.

The previous prime is 242690950627. The next prime is 242690950657. The reversal of 242690950656 is 656059096242.

242690950656 is a `hidden beast` number, since 2 + 42 + 6 + 90 + 9 + 506 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242690950657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5163637225 + ... + 5163637271.

It is an arithmetic number, because the mean of its divisors is an integer number (660339680).

Almost surely, 2242690950656 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 242690950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475444569600).

242690950656 is an abundant number, since it is smaller than the sum of its proper divisors (708198188544).

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

242690950656 is an frugal number, since it uses more digits than its factorization.

242690950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 242690950656 in words is "two hundred forty-two billion, six hundred ninety million, nine hundred fifty thousand, six hundred fifty-six".