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242665738752 = 293167946021
BaseRepresentation
bin1110001000000000000…
…0010101001000000000
3212012100210101210002210
43202000000111020000
512433434412120002
6303251252542120
723350324513623
oct3420000251000
9765323353083
10242665738752
1193a06535218
123b044321940
1319b63750738
14ba60723dba
1564a3ec496c
hex3880015200

242665738752 has 80 divisors (see below), whose sum is σ = 650348500032. Its totient is φ = 80404131840.

The previous prime is 242665738751. The next prime is 242665738771. The reversal of 242665738752 is 257837566242.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242665738692 and 242665738701.

It is not an unprimeable number, because it can be changed into a prime (242665738751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216499 + ... + 729522.

Almost surely, 2242665738752 is an apocalyptic number.

It is an amenable number.

242665738752 is an abundant number, since it is smaller than the sum of its proper divisors (407682761280).

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

242665738752 is an equidigital number, since it uses as much as digits as its factorization.

242665738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946209 (or 946193 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 57.

The spelling of 242665738752 in words is "two hundred forty-two billion, six hundred sixty-five million, seven hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 512 668 768 1002 1336 1536 2004 2672 4008 5344 8016 10688 16032 21376 32064 42752 64128 85504 128256 256512 946021 1892042 2838063 3784084 5676126 7568168 11352252 15136336 22704504 30272672 45409008 60545344 90818016 121090688 157985507 181636032 242181376 315971014 363272064 473956521 484362752 631942028 726544128 947913042 1263884056 1453088256 1895826084 2527768112 3791652168 5055536224 7583304336 10111072448 15166608672 20222144896 30333217344 40444289792 60666434688 80888579584 121332869376 242665738752