Search a number
-
+
42562066456 = 237131729118589
BaseRepresentation
bin100111101000111001…
…011001100000011000
311001212020000222221201
4213220321121200120
51144131342111311
631315220443544
73034504411210
oct475071314030
9131766028851
1042562066456
11170611a4538
1282b9b495b4
134023b03410
1420ba977240
1511918c29c1
hex9e8e59818

42562066456 has 128 divisors (see below), whose sum is σ = 107584848000. Its totient is φ = 15300698112.

The previous prime is 42562066451. The next prime is 42562066517. The reversal of 42562066456 is 65466026524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42562066451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299610 + ... + 418198.

It is an arithmetic number, because the mean of its divisors is an integer number (840506625).

Almost surely, 242562066456 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 42562066456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53792424000).

42562066456 is an abundant number, since it is smaller than the sum of its proper divisors (65022781544).

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

42562066456 is a wasteful number, since it uses less digits than its factorization.

42562066456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118661 (or 118657 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 42562066456 in words is "forty-two billion, five hundred sixty-two million, sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 29 34 52 56 58 68 91 104 116 119 136 182 203 221 232 238 364 377 406 442 476 493 728 754 812 884 952 986 1508 1547 1624 1768 1972 2639 3016 3094 3451 3944 5278 6188 6409 6902 10556 12376 12818 13804 21112 25636 27608 44863 51272 89726 118589 179452 237178 358904 474356 830123 948712 1541657 1660246 2016013 3083314 3320492 3439081 4032026 6166628 6640984 6878162 8064052 10791599 12333256 13756324 14112091 16128104 21583198 24073567 26208169 27512648 28224182 43166396 44708053 48147134 52416338 56448364 58464377 86332792 89416106 96294268 104832676 112896728 116928754 178832212 183457183 192588536 209665352 233857508 312956371 357664424 366914366 409250639 467715016 625912742 733828732 760036901 818501278 1251825484 1467657464 1520073802 1637002556 2503650968 3040147604 3274005112 5320258307 6080295208 10640516614 21281033228 42562066456