Search a number
-
+
2146992794037 = 34713233136763
BaseRepresentation
bin11111001111100010101…
…111100010100110110101
321121020202121201110210000
4133033202233202212311
5240134020123402122
64322152002421513
7311054324432010
oct37174257424665
97536677643700
102146992794037
11758597507653
122a8127661899
131275caaa8400
1475cb4ac0377
153acaca930ac
hex1f3e2be29b5

2146992794037 has 120 divisors (see below), whose sum is σ = 3970841481024. Its totient is φ = 1131970484736.

The previous prime is 2146992793997. The next prime is 2146992794047. The reversal of 2146992794037 is 7304972996412.

2146992794037 is a `hidden beast` number, since 2 + 14 + 69 + 92 + 79 + 403 + 7 = 666.

It is not a de Polignac number, because 2146992794037 - 26 = 2146992793973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146992794047) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 317458218 + ... + 317464980.

Almost surely, 22146992794037 is an apocalyptic number.

2146992794037 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2146992794037 is a deficient number, since it is larger than the sum of its proper divisors (1823848686987).

2146992794037 is a wasteful number, since it uses less digits than its factorization.

2146992794037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2146992794037 in words is "two trillion, one hundred forty-six billion, nine hundred ninety-two million, seven hundred ninety-four thousand, thirty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 169 189 273 351 507 567 819 1053 1183 1521 2457 3313 3549 4563 6763 7371 9939 10647 13689 20289 23191 29817 31941 43069 47341 60867 69573 87919 89451 95823 129207 142023 182601 208719 263757 268353 301483 387621 426069 547803 559897 615433 626157 791271 904449 1142947 1162863 1278207 1679691 1846299 1878471 2373813 2713347 3428841 3488589 3834621 3919279 5039073 5538897 7121439 8000629 8140041 10286523 11757837 15117219 16616691 22405819 24001887 24420123 30859569 35273511 45351657 49850073 67217457 72005661 92578707 105820533 156840733 201652371 216016983 291275647 317461599 470522199 604957113 648050949 873826941 1411566597 1814871339 2038929529 2621480823 3786583411 4234699791 6116788587 7864442469 11359750233 12704099373 18350365761 23593327407 26506083877 34079250699 55051097283 79518251631 102237752097 165153291849 238554754893 306713256291 715664264679 2146992794037