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402066454256130 = 2351910929572188493
BaseRepresentation
bin101101101101011010110010…
…0001011101001101000000010
31221201121011210111111221210110
41123122311210023221220002
5410144424044242144010
63543042440145212150
7150455225360200356
oct13332654413515002
91851534714457713
10402066454256130
11107124475638714
123911720a031056
131434691c765071
147140197c45466
153173a102c6120
hex16dad642e9a02

402066454256130 has 128 divisors (see below), whose sum is σ = 1025412735916800. Its totient is φ = 100608723938304.

The previous prime is 402066454256119. The next prime is 402066454256161. The reversal of 402066454256130 is 31652454660204.

It is a self number, because there is not a number n which added to its sum of digits gives 402066454256130.

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, 182624164 + ... + 184812656.

It is an arithmetic number, because the mean of its divisors is an integer number (8011036999350).

Almost surely, 2402066454256130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402066454256130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512706367958400).

402066454256130 is an abundant number, since it is smaller than the sum of its proper divisors (623346281660670).

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

402066454256130 is a wasteful number, since it uses less digits than its factorization.

402066454256130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191588.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 402066454256130 in words is "four hundred two trillion, sixty-six billion, four hundred fifty-four million, two hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 109 114 190 218 285 327 545 570 654 1090 1635 2071 2957 3270 4142 5914 6213 8871 10355 12426 14785 17742 20710 29570 31065 44355 56183 62130 88710 112366 168549 280915 322313 337098 561830 644626 842745 966939 1611565 1685490 1933878 2188493 3223130 4376986 4834695 6123947 6565479 9669390 10942465 12247894 13130958 18371841 21884930 30619735 32827395 36743682 41581367 61239470 65654790 83162734 91859205 124744101 183718410 207906835 238545737 249488202 415813670 477091474 623720505 715637211 1192728685 1247441010 1431274422 2385457370 3578186055 4532369003 6471373801 7156372110 9064738006 12942747602 13597107009 19414121403 22661845015 27194214018 32356869005 38828242806 45323690030 64713738010 67985535045 97070607015 122956102219 135971070090 194141214030 245912204438 368868306657 614780511095 705379744309 737736613314 1229561022190 1410759488618 1844341533285 2116139232927 3526898721545 3688683066570 4232278465854 7053797443090 10580696164635 13402215141871 21161392329270 26804430283742 40206645425613 67011075709355 80413290851226 134022151418710 201033227128065 402066454256130