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2121982535880 = 2332516657353869
BaseRepresentation
bin11110111000010000000…
…000111110100011001000
321111212012121111201102100
4132320100000332203020
5234231310012122010
64302454134033400
7306210463644324
oct36702000764310
97455177451370
102121982535880
11748a22904509
122a33077a8860
131251433bc99c
14749c1226984
153a2e70462c0
hex1ee1003e8c8

2121982535880 has 96 divisors (see below), whose sum is σ = 6896876758200. Its totient is φ = 565826439168.

The previous prime is 2121982535873. The next prime is 2121982535929. The reversal of 2121982535880 is 885352891212.

2121982535880 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 9 + 8 + 2 + 53 + 588 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2118020336964 + 3962198916 = 1455342^2 + 62946^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5819586 + ... + 6173454.

Almost surely, 22121982535880 is an apocalyptic number.

2121982535880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121982535880 is an abundant number, since it is smaller than the sum of its proper divisors (4774894222320).

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

2121982535880 is a wasteful number, since it uses less digits than its factorization.

2121982535880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370543 (or 370536 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 2121982535880 in words is "two trillion, one hundred twenty-one billion, nine hundred eighty-two million, five hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16657 33314 49971 66628 83285 99942 133256 149913 166570 199884 249855 299826 333140 353869 399768 499710 599652 666280 707738 749565 999420 1061607 1199304 1415476 1499130 1769345 1998840 2123214 2830952 2998260 3184821 3538690 4246428 5308035 5996520 6369642 7077380 8492856 10616070 12739284 14154760 15924105 21232140 25478568 31848210 42464280 63696420 127392840 5894395933 11788791866 17683187799 23577583732 29471979665 35366375598 47155167464 53049563397 58943959330 70732751196 88415938995 106099126794 117887918660 141465502392 176831877990 212198253588 235775837320 265247816985 353663755980 424396507176 530495633970 707327511960 1060991267940 2121982535880