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289213357249488 = 24372338239978689
BaseRepresentation
bin100000111000010011011101…
…1011011000101001111010000
31101221000112020010121011200010
41001300212323123011033100
5300401432423423440423
62503034440534554520
7114626655414054660
oct10160467333051720
91357015203534603
10289213357249488
1184174772432a81
122852b5a0208a40
13c54b9196c5769
14515c0033441a0
1523681830e7693
hex10709bb6c53d0

289213357249488 has 160 divisors (see below), whose sum is σ = 891016914124800. Its totient is φ = 79037527523328.

The previous prime is 289213357249381. The next prime is 289213357249489. The reversal of 289213357249488 is 884942753312982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289213357249489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 295021648 + ... + 296000336.

It is an arithmetic number, because the mean of its divisors is an integer number (5568855713280).

Almost surely, 2289213357249488 is an apocalyptic number.

289213357249488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

289213357249488 is an abundant number, since it is smaller than the sum of its proper divisors (601803556875312).

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

289213357249488 is a wasteful number, since it uses less digits than its factorization.

289213357249488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016969 (or 1016963 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 75.

The spelling of 289213357249488 in words is "two hundred eighty-nine trillion, two hundred thirteen billion, three hundred fifty-seven million, two hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 38239 76478 114717 152956 229434 267673 305912 458868 535346 611824 803019 879497 917736 978689 1070692 1606038 1758994 1835472 1957378 2141384 2638491 2936067 3212076 3517988 3914756 4282768 5276982 5872134 6156479 6424152 6850823 7035976 7829512 10553964 11744268 12312958 12848304 13701646 14071952 15659024 18469437 20552469 21107928 22509847 23488536 24625916 27403292 36938874 41104938 42215856 45019694 46977072 49251832 54806584 67529541 73877748 82209876 90039388 98503664 109613168 135059082 147755496 157568929 164419752 180078776 270118164 295510992 315137858 328839504 360157552 472706787 540236328 630275716 945413574 1080472656 1260551432 1890827148 2521102864 3781654296 7563308592 37424088671 74848177342 112272266013 149696354684 224544532026 261968620697 299392709368 449089064052 523937241394 598785418736 785905862091 860754039433 898178128104 1047874482788 1571811724182 1721508078866 1796356256208 2095748965576 2582262118299 3143623448364 3443016157732 4191497931152 5164524236598 6025278276031 6287246896728 6886032315464 10329048473196 12050556552062 12574493793456 13772064630928 18075834828093 20658096946392 24101113104124 36151669656186 41316193892784 48202226208248 72303339312372 96404452416496 144606678624744 289213357249488