Search a number
-
+
46460641304 = 237111312412389
BaseRepresentation
bin101011010001010001…
…010010000000011000
311102220220220010020202
4223101101102000120
51230122411010204
633202124441332
73233223635510
oct532121220030
9142826803222
1046460641304
1118781903520
1290076a9248
1344c570273c
14236a648840
15131dcb0e1e
hexad1452018

46460641304 has 128 divisors (see below), whose sum is σ = 109938470400. Its totient is φ = 17881344000.

The previous prime is 46460641273. The next prime is 46460641313. The reversal of 46460641304 is 40314606464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19446542 + ... + 19448930.

It is an arithmetic number, because the mean of its divisors is an integer number (858894300).

Almost surely, 246460641304 is an apocalyptic number.

46460641304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46460641304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54969235200).

46460641304 is an abundant number, since it is smaller than the sum of its proper divisors (63477829096).

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

46460641304 is a wasteful number, since it uses less digits than its factorization.

46460641304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 46460641304 in words is "forty-six billion, four hundred sixty million, six hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 131 154 241 262 308 482 524 616 917 964 1048 1441 1687 1834 1928 2389 2651 2882 3374 3668 4778 5302 5764 6748 7336 9556 10087 10604 11528 13496 16723 18557 19112 20174 21208 26279 31571 33446 37114 40348 52558 63142 66892 74228 80696 105116 126284 133784 148456 183953 210232 220997 252568 312959 347281 367906 441994 575749 625918 694562 735812 883988 1151498 1251836 1389124 1471624 1767976 2190713 2302996 2430967 2503672 2778248 3442549 4030243 4381426 4605992 4861934 6333239 6885098 8060486 8762852 9723868 12666478 13770196 16120972 17525704 19447736 24097843 25332956 27540392 32241944 44332673 48195686 50665912 75423119 88665346 96391372 150846238 177330692 192782744 301692476 354661384 527961833 603384952 829654309 1055923666 1659308618 2111847332 3318617236 4223694664 5807580163 6637234472 11615160326 23230320652 46460641304