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4788529855616 = 27137344987797
BaseRepresentation
bin100010110101110101010…
…0111101111110010000000
3121221210000212201201211102
41011223222213233302000
51111423402120334431
614103453101233532
71002650143123013
oct105535247576200
917853025651742
104788529855616
1115868932a30a1
12654070b628a8
13289730619a10
14127aa21b137a
15848622e0dcb
hex45aea9efc80

4788529855616 has 128 divisors (see below), whose sum is σ = 10437514038000. Its totient is φ = 2174935891968.

The previous prime is 4788529855579. The next prime is 4788529855693. The reversal of 4788529855616 is 6165589258874.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2224560318016 + 2563969537600 = 1491496^2 + 1601240^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54497030 + ... + 54584826.

Almost surely, 24788529855616 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 4788529855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218757019000).

4788529855616 is an abundant number, since it is smaller than the sum of its proper divisors (5648984182384).

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

4788529855616 is a wasteful number, since it uses less digits than its factorization.

4788529855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88346 (or 88334 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 74.

The spelling of 4788529855616 in words is "four trillion, seven hundred eighty-eight billion, five hundred twenty-nine million, eight hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 292 416 449 584 832 898 949 1168 1664 1796 1898 2336 3592 3796 4672 5837 7184 7592 9344 11674 14368 15184 23348 28736 30368 32777 46696 57472 60736 65554 87797 93392 121472 131108 175594 186784 262216 351188 373568 426101 524432 702376 747136 852202 1048864 1141361 1404752 1704404 2097728 2282722 2809504 3408808 4195456 4565444 5619008 6409181 6817616 9130888 11238016 12818362 13635232 18261776 25636724 27270464 36523552 39420853 51273448 54540928 73047104 78841706 83319353 102546896 146094208 157683412 166638706 205093792 315366824 333277412 410187584 512471089 630733648 666554824 820375168 1024942178 1261467296 1333109648 2049884356 2522934592 2666219296 2877722269 4099768712 5045869184 5332438592 5755444538 8199537424 10664877184 11510889076 16399074848 23021778152 32798149696 37410389497 46043556304 65596299392 74820778994 92087112608 149641557988 184174225216 299283115976 368348450432 598566231952 1197132463904 2394264927808 4788529855616