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239425516288 = 2872322925367
BaseRepresentation
bin1101111011111011011…
…1110111001100000000
3211212222222100102111101
43132332313313030000
512410320413010123
6301553543424144
723204121211120
oct3367667671400
9755888312441
10239425516288
11925a350a112
123a49b155054
131976836b03a
14b834268c80
1563647cdaad
hex37bedf7300

239425516288 has 144 divisors (see below), whose sum is σ = 572448199680. Its totient is φ = 97717137408.

The previous prime is 239425516273. The next prime is 239425516321. The reversal of 239425516288 is 882615524932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9425781 + ... + 9451147.

It is an arithmetic number, because the mean of its divisors is an integer number (3975334720).

Almost surely, 2239425516288 is an apocalyptic number.

239425516288 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 239425516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286224099840).

239425516288 is an abundant number, since it is smaller than the sum of its proper divisors (333022683392).

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

239425516288 is a wasteful number, since it uses less digits than its factorization.

239425516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25642 (or 25628 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 239425516288 in words is "two hundred thirty-nine billion, four hundred twenty-five million, five hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 229 256 322 368 448 458 644 736 896 916 1288 1472 1603 1792 1832 2576 2944 3206 3664 5152 5267 5888 6412 7328 10304 10534 12824 14656 20608 21068 25367 25648 29312 36869 41216 42136 50734 51296 58624 73738 84272 101468 102592 147476 168544 177569 202936 205184 294952 337088 355138 405872 410368 583441 589904 674176 710276 811744 1166882 1179808 1348352 1420552 1623488 2333764 2359616 2841104 3246976 4084087 4667528 4719232 5682208 5809043 6493952 8168174 9335056 9438464 11364416 11618086 16336348 18670112 22728832 23236172 32672696 37340224 40663301 45457664 46472344 65345392 74680448 81326602 92944688 130690784 133607989 149360896 162653204 185889376 261381568 267215978 325306408 371778752 522763136 534431956 650612816 743557504 935255923 1045526272 1068863912 1301225632 1487115008 1870511846 2137727824 2602451264 3741023692 4275455648 5204902528 7482047384 8550911296 10409805056 14964094768 17101822592 29928189536 34203645184 59856379072 119712758144 239425516288