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2555003521520 = 245731097275521
BaseRepresentation
bin100101001011100010000…
…100111100100111110000
3100001020220120212222000022
4211023202010330213300
5313330121400142040
65233430304343012
7352410240412442
oct45134204744760
910036816788008
102555003521520
118a563097408a
12353215614a68
13156c21c44588
148b93cb40492
15466dc8a56b5
hex252e213c9f0

2555003521520 has 160 divisors (see below), whose sum is σ = 6086465024640. Its totient is φ = 997199216640.

The previous prime is 2555003521493. The next prime is 2555003521571. The reversal of 2555003521520 is 251253005552.

It is a super-2 number, since 2×25550035215202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462776360 + ... + 462781880.

It is an arithmetic number, because the mean of its divisors is an integer number (38040406404).

Almost surely, 22555003521520 is an apocalyptic number.

2555003521520 is a gapful number since it is divisible by the number (20) 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 2555003521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043232512320).

2555003521520 is an abundant number, since it is smaller than the sum of its proper divisors (3531461503120).

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

2555003521520 is a wasteful number, since it uses less digits than its factorization.

2555003521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 2555003521520 in words is "two trillion, five hundred fifty-five billion, three million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 109 146 218 292 365 436 545 584 727 730 872 1090 1168 1454 1460 1744 2180 2908 2920 3635 4360 5521 5816 5840 7270 7957 8720 11042 11632 14540 15914 22084 27605 29080 31828 39785 44168 53071 55210 58160 63656 79243 79570 88336 106142 110420 127312 158486 159140 212284 220840 265355 316972 318280 396215 403033 424568 441680 530710 601789 633944 636560 792430 806066 849136 1061420 1203578 1267888 1584860 1612132 2015165 2122840 2407156 3008945 3169720 3224264 4013767 4030330 4245680 4814312 5784739 6017890 6339440 6448528 8027534 8060660 9628624 11569478 12035780 16055068 16121320 20068835 23138956 24071560 28923695 32110136 32242640 40137670 43930597 46277912 48143120 57847390 64220272 80275340 87861194 92555824 115694780 160550680 175722388 219652985 231389560 293004991 321101360 351444776 437500603 439305970 462779120 586009982 702889552 875001206 878611940 1172019964 1465024955 1750002412 1757223880 2187503015 2344039928 2930049910 3500004824 3514447760 4375006030 4688079856 5860099820 7000009648 8750012060 11720199640 17500024120 23440399280 31937544019 35000048240 63875088038 127750176076 159687720095 255500352152 319375440190 511000704304 638750880380 1277501760760 2555003521520