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2742100066629 = 337113171599251
BaseRepresentation
bin100111111001110001111…
…001101000000101000101
3100201010211200001020001000
4213321301321220011011
5324411310104113004
65455411532523513
7402052536664440
oct47716171500505
910633750036030
102742100066629
11967a11001680
1238352b920599
1316b76ab95b31
1496a0b228657
154b4dd0e8c39
hex27e71e68145

2742100066629 has 128 divisors (see below), whose sum is σ = 5301798174720. Its totient is φ = 1359099000000.

The previous prime is 2742100066597. The next prime is 2742100066687. The reversal of 2742100066629 is 9266600012472.

2742100066629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2742100066629 - 25 = 2742100066597 is a prime.

It is a super-2 number, since 2×27421000666292 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742100066129) 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, 4276254 + ... + 4875504.

It is an arithmetic number, because the mean of its divisors is an integer number (41420298240).

Almost surely, 22742100066629 is an apocalyptic number.

It is an amenable number.

2742100066629 is a deficient number, since it is larger than the sum of its proper divisors (2559698108091).

2742100066629 is a wasteful number, since it uses less digits than its factorization.

2742100066629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599380 (or 599374 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2742100066629 in words is "two trillion, seven hundred forty-two billion, one hundred million, sixty-six thousand, six hundred twenty-nine".

Divisors: 1 3 7 9 11 21 27 31 33 63 71 77 93 99 189 213 217 231 279 297 341 497 639 651 693 781 837 1023 1491 1917 1953 2079 2201 2343 2387 3069 4473 5467 5859 6603 7029 7161 9207 13419 15407 16401 19809 21087 21483 24211 46221 49203 59427 64449 72633 138663 147609 169477 217899 415989 508431 599251 653697 1525293 1797753 4194757 4575879 5393259 6591761 12584271 16179777 18576781 19775283 37752813 42546821 46142327 55730343 59325849 113258439 127640463 130037467 138426981 167191029 177977547 204344591 297827747 382921389 390112401 415280943 468015031 501573087 613033773 893483241 1148764167 1170337203 1245842829 1318951451 1404045093 1430412137 1839101319 2680449723 3276105217 3511011609 3956854353 4212135279 4291236411 5517303957 8041349169 9232660157 9828315651 11870563059 12636405837 12873709233 14508465961 27697980471 29484946953 35611689177 38621127699 43525397883 83093941413 88454840859 101559261727 130576193649 249281824239 304677785181 391728580947 914033355543 2742100066629