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242722348876 = 227317101310273
BaseRepresentation
bin1110001000001101100…
…0010001111101001100
3212012111201220212121001
43202003120101331030
512434043410131001
6303301034150044
723351612632000
oct3420330217514
9765451825531
10242722348876
1193a35490247
123b05b282324
1319b723b1757
14ba6805c700
1564a8e58001
hex3883611f4c

242722348876 has 96 divisors (see below), whose sum is σ = 525058934400. Its totient is φ = 97798643712.

The previous prime is 242722348861. The next prime is 242722348889. The reversal of 242722348876 is 678843227242.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23622076 + ... + 23632348.

It is an arithmetic number, because the mean of its divisors is an integer number (5469363900).

Almost surely, 2242722348876 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 242722348876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262529467200).

242722348876 is an abundant number, since it is smaller than the sum of its proper divisors (282336585524).

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

242722348876 is a wasteful number, since it uses less digits than its factorization.

242722348876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11312 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 55.

It can be divided in two parts, 2427223 and 48876, that added together give a 5-th power (2476099 = 195).

The spelling of 242722348876 in words is "two hundred forty-two billion, seven hundred twenty-two million, three hundred forty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1013 1372 1666 2026 3332 4052 5831 7091 10273 11662 14182 17221 20546 23324 28364 34442 41092 49637 68884 71911 99274 120547 143822 174641 198548 241094 287644 347459 349282 482188 503377 694918 698564 843829 1006754 1222487 1389836 1687658 2013508 2444974 3375316 3523639 4889948 5906803 7047278 8557409 10406549 11813606 14094556 17114818 20813098 23627212 34229636 41626196 59901863 72845843 119803726 145691686 176911333 239607452 291383372 353822666 509920901 707645332 1019841802 1238379331 2039683604 2476758662 3569446307 4953517324 7138892614 8668655317 14277785228 17337310634 34674621268 60680587219 121361174438 242722348876