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255543345552 = 243111021474029
BaseRepresentation
bin1110110111111110010…
…0100000000110010000
3220102121020212222122210
43231333210200012100
513141323044024202
6313221152432120
724314413412025
oct3557744400620
9812536788583
10255543345552
1199414613870
1241638b48640
131b13666b111
14c522b0d54c
1569a97ebc6c
hex3b7f920190

255543345552 has 80 divisors (see below), whose sum is σ = 720874486080. Its totient is φ = 77361369600.

The previous prime is 255543345523. The next prime is 255543345581.

It is a happy number.

255543345552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255543345523) and next prime (255543345581).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302074 + ... + 776102.

It is an arithmetic number, because the mean of its divisors is an integer number (9010931076).

Almost surely, 2255543345552 is an apocalyptic number.

255543345552 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 255543345552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360437243040).

255543345552 is an abundant number, since it is smaller than the sum of its proper divisors (465331140528).

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

255543345552 is a wasteful number, since it uses less digits than its factorization.

255543345552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475072 (or 475066 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 48.

The spelling of 255543345552 in words is "two hundred fifty-five billion, five hundred forty-three million, three hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1021 2042 3063 4084 6126 8168 11231 12252 16336 22462 24504 33693 44924 49008 67386 89848 134772 179696 269544 474029 539088 948058 1422087 1896116 2844174 3792232 5214319 5688348 7584464 10428638 11376696 15642957 20857276 22753392 31285914 41714552 62571828 83429104 125143656 250287312 483983609 967967218 1451950827 1935934436 2903901654 3871868872 5323819699 5807803308 7743737744 10647639398 11615606616 15971459097 21295278796 23231213232 31942918194 42590557592 63885836388 85181115184 127771672776 255543345552