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256734967479888 = 243101349371940801
BaseRepresentation
bin111010010111111111000100…
…100010011011111001010000
31020200000121211022022022002010
4322113333010202123321100
5232122321203133324023
62310010225453422520
7105035326554044142
oct7227770442337120
91220017738268063
10256734967479888
1174892763091697
1224964b5919aa40
13b034007a57481
1447580783a4c92
151ea33eb9e9093
hexe97fc489be50

256734967479888 has 160 divisors (see below), whose sum is σ = 671914932192000. Its totient is φ = 84463441920000.

The previous prime is 256734967479863. The next prime is 256734967479923. The reversal of 256734967479888 is 888974769437652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6292349088 + ... + 6292389888.

It is an arithmetic number, because the mean of its divisors is an integer number (4199468326200).

Almost surely, 2256734967479888 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 256734967479888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335957466096000).

256734967479888 is an abundant number, since it is smaller than the sum of its proper divisors (415179964712112).

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

256734967479888 is a wasteful number, since it uses less digits than its factorization.

256734967479888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44981 (or 44975 counting only the distinct ones).

The product of its digits is 245806202880, while the sum is 93.

The spelling of 256734967479888 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, nine hundred sixty-seven million, four hundred seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 349 404 606 698 808 1047 1212 1396 1616 2094 2424 2792 3719 4188 4848 5584 7438 8376 11157 14876 16752 22314 29752 35249 40801 44628 59504 70498 81602 89256 105747 122403 140996 163204 178512 211494 244806 281992 326408 375619 422988 489612 563984 652816 751238 845976 979224 1126857 1297931 1502476 1691952 1958448 2253714 2595862 3004952 3893793 4120901 4507428 5191724 6009904 7787586 8241802 9014856 10383448 12362703 14239549 15575172 16483604 18029712 20766896 24725406 28479098 31150344 32967208 42718647 49450812 56958196 62300688 65934416 85437294 98901624 113916392 131091031 151738919 170874588 197803248 227832784 262182062 303477838 341749176 393273093 455216757 524364124 606955676 683498352 786546186 910433514 1048728248 1213911352 1438194449 1573092372 1820867028 2097456496 2427822704 2876388898 3146184744 3641734056 4314583347 5752777796 6292369488 7283468112 8629166694 11505555592 15325630819 17258333388 23011111184 30651261638 34516666776 45976892457 52956882731 61302523276 69033333552 91953784914 105913765462 122605046552 158870648193 183907569828 211827530924 245210093104 317741296386 367815139656 423655061848 635482592772 735630279312 847310123696 1270965185544 2541930371088 5348645155831 10697290311662 16045935467493 21394580623324 32091870934986 42789161246648 64183741869972 85578322493296 128367483739944 256734967479888