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46460870092 = 22713715413323
BaseRepresentation
bin101011010001010010…
…001001110111001100
311102220221022202002101
4223101102021313030
51230122440320332
633202133404444
73233225610520
oct532122116714
9142827282071
1046460870092
1118781a4a3aa
129007799724
1344c5782910
14236a6a7d80
15131dd08ae7
hexad1489dcc

46460870092 has 96 divisors (see below), whose sum is σ = 101697168384. Its totient is φ = 18082310400.

The previous prime is 46460870089. The next prime is 46460870111. The reversal of 46460870092 is 29007806464.

It is a happy number.

It is a super-2 number, since 2×464608700922 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13979943 + ... + 13983265.

It is an arithmetic number, because the mean of its divisors is an integer number (1059345504).

Almost surely, 246460870092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46460870092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848584192).

46460870092 is an abundant number, since it is smaller than the sum of its proper divisors (55236298292).

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

46460870092 is a wasteful number, since it uses less digits than its factorization.

46460870092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 46460870092 in words is "forty-six billion, four hundred sixty million, eight hundred seventy thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 541 923 994 1082 1846 1988 2164 3323 3692 3787 6461 6646 7033 7574 12922 13292 14066 15148 23261 25844 28132 38411 43199 46522 49231 76822 86398 93044 98462 153644 172796 196924 235933 268877 302393 471866 499343 537754 604786 943732 998686 1075508 1209572 1651531 1797743 1997372 3067129 3303062 3495401 3595486 6134258 6606124 6990802 7190972 12268516 12584201 13981604 21469903 23370659 25168402 42939806 46741318 50336804 85879612 93482636 127639753 163594613 255279506 327189226 510559012 654378452 893478271 1659316789 1786956542 3318633578 3573913084 6637267156 11615217523 23230435046 46460870092