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5011183061632 = 271119769243589
BaseRepresentation
bin100100011101100000111…
…0010010100101010000000
3122202001201222000112000001
41020323001302110222000
51124100400330433012
614354034500205344
71025021534134306
oct110730162245200
918661658015001
105011183061632
11166225a219260
1268b24b099854
132a4724bc51b7
14134784aaa276
158a5443c1357
hex48ec1c94a80

5011183061632 has 128 divisors (see below), whose sum is σ = 11478935160000. Its totient is φ = 2155110727680.

The previous prime is 5011183061623. The next prime is 5011183061659. The reversal of 5011183061632 is 2361603811105.

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

It is a super-2 number, since 2×50111830616322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5011183061591 and 5011183061600.

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, 20450494 + ... + 20694082.

Almost surely, 25011183061632 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 5011183061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739467580000).

5011183061632 is an abundant number, since it is smaller than the sum of its proper divisors (6467752098368).

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

5011183061632 is a wasteful number, since it uses less digits than its factorization.

5011183061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244402 (or 244390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 5011183061632 its reverse (2361603811105), we get a palindrome (7372786872737).

The spelling of 5011183061632 in words is "five trillion, eleven billion, one hundred eighty-three million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 769 836 1216 1408 1538 1672 2432 3076 3344 6152 6688 8459 12304 13376 14611 16918 24608 26752 29222 33836 49216 58444 67672 98432 116888 135344 160721 233776 243589 270688 321442 467552 487178 541376 642884 935104 974356 1082752 1285768 1870208 1948712 2571536 2679479 3897424 4628191 5143072 5358958 7794848 9256382 10286144 10717916 15589696 18512764 20572288 21435832 31179392 37025528 42871664 50910101 74051056 85743328 101820202 148102112 171486656 187319941 203640404 296204224 342973312 374639882 407280808 592408448 749279764 814561616 1498559528 1629123232 2060519351 2997119056 3258246464 3559078879 4121038702 5994238112 6516492928 7118157758 8242077404 11988476224 14236315516 16484154808 23976952448 28472631032 32968309616 39149867669 56945262064 65936619232 78299735338 113890524128 131873238464 156599470676 227781048256 263746476928 313198941352 455562096512 626397882704 1252795765408 2505591530816 5011183061632