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483057056034 = 2327218115671931
BaseRepresentation
bin1110000011110000111…
…00011011100100100010
31201011212002001222111100
413001320130123210202
530403300101243114
61005525141055230
746620414141300
oct7017034334442
91634762058440
10483057056034
11176955129973
12797529b7516
1336723c13647
1419546d57270
15c87347b909
hex707871b922

483057056034 has 144 divisors (see below), whose sum is σ = 1225643118336. Its totient is φ = 137095156800.

The previous prime is 483057056021. The next prime is 483057056057. The reversal of 483057056034 is 430650750384.

483057056034 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 57 + 0 + 560 + 34 = 666.

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, 250158049 + ... + 250159979.

It is an arithmetic number, because the mean of its divisors is an integer number (8511410544).

Almost surely, 2483057056034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483057056034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612821559168).

483057056034 is an abundant number, since it is smaller than the sum of its proper divisors (742586062302).

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

483057056034 is a wasteful number, since it uses less digits than its factorization.

483057056034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 483057056034 in words is "four hundred eighty-three billion, fifty-seven million, fifty-six thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 181 294 362 441 543 882 1086 1267 1567 1629 1931 2534 3134 3258 3801 3862 4701 5793 7602 8869 9402 10969 11403 11586 13517 14103 17379 17738 21938 22806 26607 27034 28206 32907 34758 40551 53214 65814 76783 79821 81102 94619 98721 121653 153566 159642 189238 197442 230349 243306 283627 283857 349511 460698 567254 567714 691047 699022 850881 851571 1048533 1382094 1701762 1703142 1985389 2097066 2446577 2552643 3025877 3145599 3970778 4893154 5105286 5956167 6051754 6291198 7339731 9077631 11912334 13897723 14679462 17126039 17868501 18155262 21181139 22019193 27232893 27795446 34252078 35737002 41693169 42362278 44038386 51378117 54465786 63543417 83386338 102756234 125079507 127086834 148267973 154134351 190630251 250159014 296535946 308268702 381260502 444803919 547683737 889607838 1095367474 1334411757 1643051211 2668823514 3286102422 3833786159 4929153633 7667572318 9858307266 11501358477 23002716954 26836503113 34504075431 53673006226 69008150862 80509509339 161019018678 241528528017 483057056034