Search a number
-
+
746803484130 = 2351115722763499
BaseRepresentation
bin10101101111000001111…
…01001101010111100010
32122101122000111201221010
422313200331031113202
544213423142443010
61331024330241350
7104645325610014
oct12674075152742
92571560451833
10746803484130
11268799108aa0
1210089ab86256
1355566bbac52
14282072b61b4
151465cedb620
hexade0f4d5e2

746803484130 has 128 divisors (see below), whose sum is σ = 1976420736000. Its totient is φ = 179094839040.

The previous prime is 746803484117. The next prime is 746803484197. The reversal of 746803484130 is 31484308647.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 746803484130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11729121 + ... + 11792619.

It is an arithmetic number, because the mean of its divisors is an integer number (15440787000).

Almost surely, 2746803484130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746803484130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988210368000).

746803484130 is an abundant number, since it is smaller than the sum of its proper divisors (1229617251870).

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

746803484130 is a wasteful number, since it uses less digits than its factorization.

746803484130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63904.

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 746803484130 in words is "seven hundred forty-six billion, eight hundred three million, four hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 227 314 330 454 471 681 785 942 1135 1362 1570 1727 2270 2355 2497 3405 3454 4710 4994 5181 6810 7491 8635 10362 12485 14982 17270 24970 25905 35639 37455 51810 63499 71278 74910 106917 126998 178195 190497 213834 317495 356390 380994 392029 534585 634990 698489 784058 952485 1069170 1176087 1396978 1904970 1960145 2095467 2352174 3492445 3920290 4190934 5880435 6984890 9969343 10477335 11760870 14414273 19938686 20954670 28828546 29908029 43242819 49846715 59816058 72071365 86485638 99693430 109662773 144142730 149540145 158557003 216214095 219325546 299080290 317114006 328988319 432428190 475671009 548313865 657976638 792785015 951342018 1096627730 1585570030 1644941595 2263040861 2378355045 3289883190 4526081722 4756710090 6789122583 11315204305 13578245166 22630408610 24893449471 33945612915 49786898942 67891225830 74680348413 124467247355 149360696826 248934494710 373401742065 746803484130