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2042066500551 = 3371131149212651
BaseRepresentation
bin11101101101110100101…
…001011111101111000111
321020012221010101111022000
4131231310221133233013
5231424123011004201
64202040140040343
7300351211600560
oct35556451375707
97205833344260
102042066500551
11718043337320
1228b923b330b3
1311a7487a5a0c
1470b9d6a7167
15381bb110d86
hex1db74a5fbc7

2042066500551 has 128 divisors (see below), whose sum is σ = 3919601664000. Its totient is φ = 1019699280000.

The previous prime is 2042066500493. The next prime is 2042066500571. The reversal of 2042066500551 is 1550056602402.

2042066500551 is a `hidden beast` number, since 2 + 0 + 42 + 0 + 6 + 65 + 0 + 0 + 551 = 666.

It is not a de Polignac number, because 2042066500551 - 27 = 2042066500423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042066500571) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9496576 + ... + 9709226.

It is an arithmetic number, because the mean of its divisors is an integer number (30621888000).

Almost surely, 22042066500551 is an apocalyptic number.

2042066500551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2042066500551 is a deficient number, since it is larger than the sum of its proper divisors (1877535163449).

2042066500551 is a wasteful number, since it uses less digits than its factorization.

2042066500551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212858 (or 212852 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2042066500551 in words is "two trillion, forty-two billion, sixty-six million, five hundred thousand, five hundred fifty-one".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 93 99 149 189 217 231 279 297 341 447 651 693 837 1023 1043 1341 1639 1953 2079 2387 3069 3129 4023 4619 4917 5859 7161 9207 9387 11473 13857 14751 21483 28161 32333 34419 41571 44253 50809 64449 96999 103257 124713 152427 212651 290997 309771 355663 457281 637953 872991 1066989 1371843 1488557 1913859 2339161 3200967 4465671 5741577 6592181 7017483 9602901 13397013 16374127 19776543 21052449 31684999 40191039 46145267 49122381 59329629 63157347 72513991 95054997 138435801 147367143 177988887 217541973 221794993 285164991 348534989 415307403 442101429 507597937 652625919 665384979 855494973 982234969 1045604967 1245922209 1522793811 1957877757 1996154937 2439744923 2946704907 3136814901 4568381433 5988464811 6875644783 7319234769 8840114721 9410444703 10804584659 13705144299 20626934349 21957704307 26520344163 32413753977 61880803047 65873112921 75632092613 97241261931 185642409141 226896277839 291723785793 680688833517 2042066500551