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2281351478880 = 25356736970549
BaseRepresentation
bin100001001100101011001…
…001001111111001100000
322002002120022021211221210
4201030223021033321200
5244334201434311010
64504012143350120
7323552005421235
oct41145311177140
98062508254853
102281351478880
117aa574487161
1230a183bb2340
131371909a88a6
147c5bcdcb78c
153e5233cdb20
hex2132b24fe60

2281351478880 has 96 divisors (see below), whose sum is σ = 7186465692000. Its totient is φ = 608342740992.

The previous prime is 2281351478851. The next prime is 2281351478881. The reversal of 2281351478880 is 888741531822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2281351478880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281351478881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32301846 + ... + 32372394.

It is an arithmetic number, because the mean of its divisors is an integer number (74859017625).

Almost surely, 22281351478880 is an apocalyptic number.

2281351478880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281351478880 is an abundant number, since it is smaller than the sum of its proper divisors (4905114213120).

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

2281351478880 is a wasteful number, since it uses less digits than its factorization.

2281351478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137936 (or 137928 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 2281351478880 in words is "two trillion, two hundred eighty-one billion, three hundred fifty-one million, four hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 67369 70549 134738 141098 202107 211647 269476 282196 336845 352745 404214 423294 538952 564392 673690 705490 808428 846588 1010535 1058235 1077904 1128784 1347380 1410980 1616856 1693176 2021070 2116470 2155808 2257568 2694760 2821960 3233712 3386352 4042140 4232940 5389520 5643920 6467424 6772704 8084280 8465880 10779040 11287840 16168560 16931760 32337120 33863520 4752815581 9505631162 14258446743 19011262324 23764077905 28516893486 38022524648 47528155810 57033786972 71292233715 76045049296 95056311620 114067573944 142584467430 152090098592 190112623240 228135147888 285168934860 380225246480 456270295776 570337869720 760450492960 1140675739440 2281351478880