Search a number
-
+
3389769405594 = 23311133171384781
BaseRepresentation
bin110001010100111110000…
…000000101010010011010
3110000001120212011121021000
4301110332000011102122
5421014221431434334
611113123310325430
7466621434353205
oct61247600052232
913001525147230
103389769405594
111097658505080
12468b62ab9876
131b7866774090
14ba0cc46c93c
155d297dd0299
hex3153e00549a

3389769405594 has 128 divisors (see below), whose sum is σ = 8877671228160. Its totient is φ = 945195436800.

The previous prime is 3389769405587. The next prime is 3389769405599. The reversal of 3389769405594 is 4955049679833.

3389769405594 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 7 + 69 + 4 + 0 + 559 + 4 = 666.

It is a super-2 number, since 2×33897694055942 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3389769405599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1755484 + ... + 3140264.

It is an arithmetic number, because the mean of its divisors is an integer number (69356806470).

Almost surely, 23389769405594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3389769405594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438835614080).

3389769405594 is an abundant number, since it is smaller than the sum of its proper divisors (5487901822566).

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

3389769405594 is a wasteful number, since it uses less digits than its factorization.

3389769405594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385133 (or 1385127 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 3389769405594 in words is "three trillion, three hundred eighty-nine billion, seven hundred sixty-nine million, four hundred five thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 317 351 429 594 634 702 858 951 1287 1902 2574 2853 3487 3861 4121 5706 6974 7722 8242 8559 10461 12363 17118 20922 24726 31383 37089 45331 62766 74178 90662 94149 111267 135993 188298 222534 271986 407979 815958 1223937 1384781 2447874 2769562 4154343 8308686 12463029 15232591 18002153 24926058 30465182 36004306 37389087 45697773 54006459 74778174 91395546 108012918 137093319 162019377 198023683 274186638 324038754 396047366 411279957 438975577 486058131 594071049 822559914 877951154 972116262 1188142098 1316926731 1782213147 2633853462 3564426294 3950780193 4828731347 5346639441 5706682501 7901560386 9657462694 10693278882 11413365002 11852340579 14486194041 17120047503 23704681158 28972388082 34240095006 43458582123 51360142509 62773507511 86917164246 102720285018 125547015022 130375746369 154080427527 188320522533 260751492738 308160855054 376641045066 564961567599 1129923135198 1694884702797 3389769405594