Search a number
-
+
2649463540794 = 2327210333138803
BaseRepresentation
bin100110100011100000010…
…101010100110000111010
3100101021201200002010101200
4212203200111110300322
5321402100131301134
65345051410355030
7362263114341600
oct46434025246072
910337650063350
102649463540794
119316a4108714
12369597b8ba76
13162ac6a824c5
14923400db870
1548dba574499
hex268e0554c3a

2649463540794 has 144 divisors (see below), whose sum is σ = 6745363215552. Its totient is φ = 749328765696.

The previous prime is 2649463540771. The next prime is 2649463540883. The reversal of 2649463540794 is 4970453649462.

2649463540794 is a `hidden beast` number, since 2 + 6 + 49 + 46 + 3 + 540 + 7 + 9 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300968397 + ... + 300977199.

It is an arithmetic number, because the mean of its divisors is an integer number (46842800108).

Almost surely, 22649463540794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649463540794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372681607776).

2649463540794 is an abundant number, since it is smaller than the sum of its proper divisors (4095899674758).

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

2649463540794 is a wasteful number, since it uses less digits than its factorization.

2649463540794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12241 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 2649463540794 in words is "two trillion, six hundred forty-nine billion, four hundred sixty-three million, five hundred forty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 294 309 441 618 721 882 927 1442 1854 2163 3313 4326 5047 6489 6626 8803 9939 10094 12978 15141 17606 19878 23191 26409 29817 30282 45423 46382 52818 59634 61621 69573 79227 90846 123242 139146 158454 162337 184863 208719 324674 341239 369726 417438 431347 487011 554589 682478 862694 906709 974022 1023717 1109178 1294041 1461033 1813418 2047434 2388673 2588082 2720127 2922066 3071151 3882123 4777346 5440254 6142302 6346963 7166019 7764246 8160381 12693926 14332038 16320762 16720711 19040889 21498057 29164339 33441422 38081778 42996114 44428741 50162133 57122667 58328678 87493017 88857482 100324266 114245334 133286223 150486399 174986034 204150373 262479051 266572446 300972798 399858669 408300746 524958102 612451119 799717338 1224902238 1429052611 1837353357 2858105222 3003926917 3674706714 4287157833 6007853834 8574315666 9011780751 12861473499 18023561502 21027488419 25722946998 27035342253 42054976838 54070684506 63082465257 126164930514 147192418933 189247395771 294384837866 378494791542 441577256799 883154513598 1324731770397 2649463540794