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42581619976 = 23743531093061
BaseRepresentation
bin100111101010000011…
…111111010100001000
311001220120211102100011
4213222003333110020
51144201343314401
631321155521304
73035132540440
oct475203772410
9131816742304
1042581619976
111707123a375
1283045b9234
134027b8b54c
1420bd3c7120
151193486451
hex9ea0ff508

42581619976 has 128 divisors (see below), whose sum is σ = 96034118400. Its totient is φ = 17322439680.

The previous prime is 42581619961. The next prime is 42581619991. The reversal of 42581619976 is 67991618524.

42581619976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42581619961) and next prime (42581619991).

It is a self number, because there is not a number n which added to its sum of digits gives 42581619976.

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, 13909486 + ... + 13912546.

It is an arithmetic number, because the mean of its divisors is an integer number (750266550).

Almost surely, 242581619976 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 42581619976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48017059200).

42581619976 is an abundant number, since it is smaller than the sum of its proper divisors (53452498424).

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

42581619976 is a wasteful number, since it uses less digits than its factorization.

42581619976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3275 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 58.

The spelling of 42581619976 in words is "forty-two billion, five hundred eighty-one million, six hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 43 53 56 86 106 109 172 212 218 301 344 371 424 436 602 742 763 872 1204 1484 1526 2279 2408 2968 3052 3061 4558 4687 5777 6104 6122 9116 9374 11554 12244 15953 18232 18748 21427 23108 24488 31906 32809 37496 40439 42854 46216 63812 65618 80878 85708 127624 131236 131623 161756 162233 171416 248411 262472 263246 323512 324466 333649 496822 526492 648932 667298 921361 993644 1052984 1135631 1297864 1334596 1738877 1842722 1987288 2271262 2335543 2669192 3477754 3685444 4542524 4671086 6955508 6976019 7370888 9085048 9342172 13911016 13952038 14346907 17683397 18684344 27904076 28693814 35366794 48832133 55808152 57387628 70733588 97664266 100428349 114775256 123783779 141467176 195328532 200856698 247567558 390657064 401713396 495135116 760386071 803426792 990270232 1520772142 3041544284 5322702497 6083088568 10645404994 21290809988 42581619976