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255545545552 = 241143118728447
BaseRepresentation
bin1110110111111110110…
…0111001001101010000
3220102121102000202111021
43231333230321031100
513141324124424202
6313221311525224
724314441204023
oct3557754711520
9812542022437
10255545545552
1199415886750
1241639829814
131b136c5b5ab
14c5231231ba
1569a9ad3a37
hex3b7fb39350

255545545552 has 80 divisors (see below), whose sum is σ = 553176594432. Its totient is φ = 113356172160.

The previous prime is 255545545537. The next prime is 255545545571.

255545545552 is nontrivially palindromic in base 10.

255545545552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 255545545552.

It is a congruent number.

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, 8968993 + ... + 8997439.

Almost surely, 2255545545552 is an apocalyptic number.

255545545552 is a gapful number since it is divisible by the number (22) 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 255545545552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276588297216).

255545545552 is an abundant number, since it is smaller than the sum of its proper divisors (297631048880).

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

255545545552 is a wasteful number, since it uses less digits than its factorization.

255545545552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29696 (or 29690 counting only the distinct ones).

The product of its digits is 25000000, while the sum is 52.

The spelling of 255545545552 in words is "two hundred fifty-five billion, five hundred forty-five million, five hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1187 1892 2374 3784 4748 7568 9496 13057 18992 26114 28447 51041 52228 56894 102082 104456 113788 204164 208912 227576 312917 408328 455152 561451 625834 816656 1122902 1223221 1251668 2245804 2446442 2503336 4491608 4892884 5006672 8983216 9785768 13455431 19571536 26910862 33766589 53821724 67533178 107643448 135066356 215286896 270132712 371432479 540265424 742864958 1451963327 1485729916 2903926654 2971459832 5807853308 5942919664 11615706616 15971596597 23231413232 31943193194 63886386388 127772772776 255545545552