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5515952946064 = 241125365638191
BaseRepresentation
bin101000001000100100001…
…1010100111101110010000
3201112022122020121110120221
41100101020122213232100
51210333132423233224
615421554354442424
71106341312304401
oct120211032475620
921468566543527
105515952946064
111837336701500
12751041593414
133101c9301aa2
14150d8b5ad9a8
1598738b536e4
hex504486a7b90

5515952946064 has 120 divisors (see below), whose sum is σ = 11971969744896. Its totient is φ = 2459269612800.

The previous prime is 5515952946047. The next prime is 5515952946121. The reversal of 5515952946064 is 4606492595155.

It is a junction number, because it is equal to n+sod(n) for n = 5515952945993 and 5515952946011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673412209 + ... + 673420399.

Almost surely, 25515952946064 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 5515952946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985984872448).

5515952946064 is an abundant number, since it is smaller than the sum of its proper divisors (6456016798832).

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

5515952946064 is a wasteful number, since it uses less digits than its factorization.

5515952946064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 61.

The spelling of 5515952946064 in words is "five trillion, five hundred fifteen billion, nine hundred fifty-two million, nine hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 4664 6413 6563 8191 9328 12826 13126 16382 25652 26252 32764 51304 52504 65528 72193 90101 102608 105008 131056 144386 180202 288772 347839 360404 434123 577544 695678 720808 794123 868246 991111 1155088 1391356 1441616 1588246 1736492 1982222 2782712 3176492 3472984 3826229 3964444 4775353 5565424 6352984 6945968 7652458 7928888 9550706 12705968 15304916 15857776 19101412 30609832 38202824 42088519 52528883 53757533 61219664 76405648 84177038 105057766 107515066 168354076 210115532 215030132 336708152 420231064 430060264 591332863 673416304 840462128 860120528 1182665726 2365331452 2849149249 4730662904 5698298498 6504661493 9461325808 11396596996 13009322986 22793193992 26018645972 31340641739 45586387984 52037291944 62681283478 104074583888 125362566956 250725133912 344747059129 501450267824 689494118258 1378988236516 2757976473032 5515952946064