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2930877142362 = 23213217197287689
BaseRepresentation
bin101010101001100101111…
…001000001010101011010
3101101012002212102021200200
4222221211321001111122
5341004414022023422
610122232032443030
7421514603442561
oct52514571012532
911335085367620
102930877142362
11a2aa83814754
123b40349a9476
131834c4037c00
14a1bd89aabd8
155138b1472ac
hex2aa65e4155a

2930877142362 has 144 divisors (see below), whose sum is σ = 7317759940920. Its totient is φ = 844449435648.

The previous prime is 2930877142351. The next prime is 2930877142393. The reversal of 2930877142362 is 2632417780392.

It is a happy number.

2930877142362 is a `hidden beast` number, since 2 + 93 + 0 + 8 + 7 + 71 + 423 + 62 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1367054362521 + 1563822779841 = 1169211^2 + 1250529^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2930877142299 and 2930877142308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10043814 + ... + 10331502.

Almost surely, 22930877142362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930877142362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658879970460).

2930877142362 is an abundant number, since it is smaller than the sum of its proper divisors (4386882798558).

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

2930877142362 is a wasteful number, since it uses less digits than its factorization.

2930877142362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287937 (or 287921 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2930877142362 in words is "two trillion, nine hundred thirty billion, eight hundred seventy-seven million, one hundred forty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 197 221 234 306 338 394 442 507 591 663 1014 1182 1326 1521 1773 1989 2561 2873 3042 3349 3546 3978 5122 5746 6698 7683 8619 10047 15366 17238 20094 23049 25857 30141 33293 43537 46098 51714 60282 66586 87074 99879 130611 199758 261222 287689 299637 391833 565981 575378 599274 783666 863067 1131962 1697943 1726134 2589201 3395886 3739957 4890713 5093829 5178402 7479914 9781426 10187658 11219871 14672139 22439742 29344278 33659613 44016417 48619441 56674733 63579269 67319226 88032834 97238882 113349466 127158538 145858323 170024199 190737807 291716646 340048398 381475614 437574969 510072597 572213421 736771529 826530497 875149938 963470461 1020145194 1144426842 1473543058 1653060994 1926940922 2210314587 2479591491 2890411383 4420629174 4959182982 5780822766 6630943761 7438774473 8671234149 9578029877 12525115993 13261887522 14877548946 17342468298 19156059754 25050231986 28734089631 37575347979 57468179262 75150695958 86202268893 112726043937 162826507909 172404537786 225452087874 325653015818 488479523727 976959047454 1465438571181 2930877142362