Search a number
-
+
42624539010 = 23351929286513
BaseRepresentation
bin100111101100100111…
…101101100110000010
311002000120120221012000
4213230213231212002
51144243340222020
631325331444430
73036163414014
oct475447554602
9132016527160
1042624539010
1117093494049
128316a56716
134033a37921
1420c4d9a1b4
151197113090
hex9ec9ed982

42624539010 has 128 divisors (see below), whose sum is σ = 123774048000. Its totient is φ = 10396947456.

The previous prime is 42624538997. The next prime is 42624539057. The reversal of 42624539010 is 1093542624.

It is a happy number.

42624539010 is a `hidden beast` number, since 4 + 26 + 245 + 390 + 1 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5514 + ... + 292026.

It is an arithmetic number, because the mean of its divisors is an integer number (966984750).

Almost surely, 242624539010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42624539010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887024000).

42624539010 is an abundant number, since it is smaller than the sum of its proper divisors (81149508990).

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

42624539010 is a wasteful number, since it uses less digits than its factorization.

42624539010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286577 (or 286571 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42624539010 in words is "forty-two billion, six hundred twenty-four million, five hundred thirty-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 14877 16530 24795 29754 49590 74385 148770 286513 573026 859539 1432565 1719078 2578617 2865130 4297695 5157234 5443747 7735851 8308877 8595390 10887494 12893085 15471702 16331241 16617754 24926631 25786170 27218735 32662482 38679255 41544385 48993723 49853262 54437470 74779893 77358510 81656205 83088770 97987446 124633155 146981169 149559786 157868663 163312410 224339679 244968615 249266310 293962338 315737326 373899465 448679358 473605989 489937230 734905845 747798930 789343315 947211978 1121698395 1420817967 1469811690 1578686630 2243396790 2368029945 2841635934 4262453901 4736059890 7104089835 8524907802 14208179670 21312269505 42624539010