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2146452673530 = 2351189163448363
BaseRepresentation
bin11111001111000010100…
…011001001001111111010
321121012100222101111201210
4133033002203021033322
5240131413341023110
64322022230023550
7311035045455444
oct37170243111772
97535328344653
102146452673530
1175833a638070
122a7bb67a7bb6
13127542c16989
1475c63083494
153ac7a452520
hex1f3c28c93fa

2146452673530 has 128 divisors (see below), whose sum is σ = 5717824680960. Its totient is φ = 511347893760.

The previous prime is 2146452673523. The next prime is 2146452673549. The reversal of 2146452673530 is 353762546412.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2146452673530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4563129 + ... + 5011491.

It is an arithmetic number, because the mean of its divisors is an integer number (44670505320).

Almost surely, 22146452673530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146452673530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858912340480).

2146452673530 is an abundant number, since it is smaller than the sum of its proper divisors (3571372007430).

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

2146452673530 is a wasteful number, since it uses less digits than its factorization.

2146452673530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448636.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 2146452673530 in words is "two trillion, one hundred forty-six billion, four hundred fifty-two million, six hundred seventy-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 163 165 178 267 326 330 445 489 534 815 890 978 979 1335 1630 1793 1958 2445 2670 2937 3586 4890 4895 5379 5874 8965 9790 10758 14507 14685 17930 26895 29014 29370 43521 53790 72535 87042 145070 159577 217605 319154 435210 448363 478731 797885 896726 957462 1345089 1595770 2241815 2393655 2690178 4483630 4787310 4931993 6725445 9863986 13450890 14795979 24659965 29591958 39904307 49319930 73083169 73979895 79808614 119712921 146166338 147959790 199521535 219249507 239425842 365415845 399043070 438499014 438947377 598564605 730831690 803914859 877894754 1096247535 1197129210 1316842131 1607829718 2192495070 2194736885 2411744577 2633684262 4019574295 4389473770 4823489154 6504402041 6584210655 8039148590 12058722885 13008804082 13168421310 19513206123 24117445770 32522010205 39026412246 65044020410 71548422451 97566030615 143096844902 195132061230 214645267353 357742112255 429290534706 715484224510 1073226336765 2146452673530