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242993654784 = 21035976537
BaseRepresentation
bin1110001001001110001…
…1001110110000000000
3212020012122102122100000
43202103203032300000
512440122333423114
6303344005200000
723361415662216
oct3422343166000
9766178378300
10242993654784
1194064646401
123b116100000
1319bb6673aaa
14ba920c2cb6
1564c2b99e09
hex38938cec00

242993654784 has 132 divisors (see below), whose sum is σ = 727626276104. Its totient is φ = 80997801984.

The previous prime is 242993654741. The next prime is 242993654797. The reversal of 242993654784 is 487456399242.

242993654784 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 9 + 3 + 6 + 547 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239437 + ... + 737100.

Almost surely, 2242993654784 is an apocalyptic number.

242993654784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242993654784 is an abundant number, since it is smaller than the sum of its proper divisors (484632621320).

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

242993654784 is an frugal number, since it uses more digits than its factorization.

242993654784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976572 (or 976542 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 242993654784 in words is "two hundred forty-two billion, nine hundred ninety-three million, six hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 124416 248832 976537 1953074 2929611 3906148 5859222 7812296 8788833 11718444 15624592 17577666 23436888 26366499 31249184 35155332 46873776 52732998 62498368 70310664 79099497 93747552 105465996 124996736 140621328 158198994 187495104 210931992 237298491 249993472 281242656 316397988 374990208 421863984 474596982 499986944 562485312 632795976 749980416 843727968 949193964 999973888 1124970624 1265591952 1499960832 1687455936 1898387928 2249941248 2531183904 2999921664 3374911872 3796775856 4499882496 5062367808 6749823744 7593551712 8999764992 10124735616 13499647488 15187103424 20249471232 26999294976 30374206848 40498942464 60748413696 80997884928 121496827392 242993654784