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4668523056512 = 27731617272411
BaseRepresentation
bin100001111101111100110…
…1010001000110110000000
3121112022021101202200201022
41003323321222020312000
51102442113400302022
613532405003125012
7661201232142110
oct103737152106600
917468241680638
104668523056512
11153aa00614787
1263495ab13768
1327b316bc1a13
14121d59db9040
158168b945c42
hex43ef9a88d80

4668523056512 has 128 divisors (see below), whose sum is σ = 10989928212480. Its totient is φ = 1933108531200.

The previous prime is 4668523056511. The next prime is 4668523056569. The reversal of 4668523056512 is 2156503258664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×46685230565122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668523056511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17001587 + ... + 17273997.

It is an arithmetic number, because the mean of its divisors is an integer number (85858814160).

Almost surely, 24668523056512 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 4668523056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494964106240).

4668523056512 is an abundant number, since it is smaller than the sum of its proper divisors (6321405155968).

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

4668523056512 is a wasteful number, since it uses less digits than its factorization.

4668523056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273080 (or 273068 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 53.

The spelling of 4668523056512 in words is "four trillion, six hundred sixty-eight billion, five hundred twenty-three million, fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 617 868 896 992 1234 1736 1984 2468 3472 3968 4319 4936 6944 8638 9872 13888 17276 19127 19744 27776 34552 38254 39488 69104 76508 78976 133889 138208 153016 267778 272411 276416 306032 535556 544822 552832 612064 1071112 1089644 1224128 1906877 2142224 2179288 2448256 3813754 4284448 4358576 7627508 8444741 8568896 8717152 15255016 16889482 17137792 17434304 30510032 33778964 34868608 59113187 61020064 67557928 118226374 122040128 135115856 168077587 236452748 244080256 270231712 336155174 472905496 540463424 672310348 945810992 1080926848 1176543109 1344620696 1891621984 2353086218 2689241392 3783243968 4706172436 5210405197 5378482784 7566487936 9412344872 10420810394 10756965568 18824689744 20841620788 21513931136 36472836379 37649379488 41683241576 72945672758 75298758976 83366483152 145891345516 150597517952 166732966304 291782691032 333465932608 583565382064 666931865216 1167130764128 2334261528256 4668523056512