Search a number
-
+
10042622824 = 23131943181653
BaseRepresentation
bin10010101101001011…
…00100001101101000
3221220212222002122111
421112211210031220
5131031402412244
64340304132104
7503602612513
oct112645441550
927825862574
1010042622824
114293887193
121b43307034
13c40791a90
146b3a99d7a
153db9cbe34
hex256964368

10042622824 has 128 divisors (see below), whose sum is σ = 21996374400. Its totient is φ = 4258759680.

The previous prime is 10042622801. The next prime is 10042622899. The reversal of 10042622824 is 42822624001.

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, 15378882 + ... + 15379534.

It is an arithmetic number, because the mean of its divisors is an integer number (171846675).

Almost surely, 210042622824 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 10042622824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998187200).

10042622824 is an abundant number, since it is smaller than the sum of its proper divisors (11953751576).

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

10042622824 is a wasteful number, since it uses less digits than its factorization.

10042622824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 10042622824 in words is "ten billion, forty-two million, six hundred twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 43 52 76 86 104 152 172 181 247 344 362 494 559 653 724 817 988 1118 1306 1448 1634 1976 2236 2353 2612 3268 3439 4472 4706 5224 6536 6878 7783 8489 9412 10621 12407 13756 15566 16978 18824 21242 24814 27512 28079 31132 33956 42484 44707 49628 56158 62264 67912 84968 89414 99256 101179 112316 118193 147877 161291 178828 202358 224632 236386 295754 322582 357656 365027 404716 472772 533501 591508 645164 730054 809432 945544 1067002 1183016 1290328 1460108 1536509 1922401 2134004 2245667 2920216 3073018 3844802 4268008 4491334 5082299 6146036 6935513 7689604 8982668 10164598 12292072 13871026 15379208 17965336 20329196 27742052 29193671 40658392 55484104 58387342 66069887 96563681 116774684 132139774 193127362 233549368 264279548 386254724 528559096 772509448 1255327853 2510655706 5021311412 10042622824