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5512540602144 = 253199439657299
BaseRepresentation
bin101000000110111110100…
…0001100011111100100000
3201111222211102200102201210
41100031331001203330200
51210304140343232034
615420232020230120
71106160615666012
oct120157501437440
921458742612653
105512540602144
111835945504a64
1275044a83b340
1330caa4376584
14150b4630c1b2
15985d92ad8e9
hex5037d063f20

5512540602144 has 96 divisors (see below), whose sum is σ = 14576284800000. Its totient is φ = 1824112376064.

The previous prime is 5512540602143. The next prime is 5512540602241. The reversal of 5512540602144 is 4412060452155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55125406021442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5512540602143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8058007 + ... + 8715305.

It is an arithmetic number, because the mean of its divisors is an integer number (151836300000).

Almost surely, 25512540602144 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 5512540602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288142400000).

5512540602144 is an abundant number, since it is smaller than the sum of its proper divisors (9063744197856).

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

5512540602144 is a wasteful number, since it uses less digits than its factorization.

5512540602144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657950 (or 657942 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 5512540602144 in words is "five trillion, five hundred twelve billion, five hundred forty million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 439 597 796 878 1194 1317 1592 1756 2388 2634 3184 3512 4776 5268 6368 7024 9552 10536 14048 19104 21072 42144 87361 174722 262083 349444 524166 657299 698888 1048332 1314598 1397776 1971897 2096664 2629196 2795552 3943794 4193328 5258392 7887588 8386656 10516784 15775176 21033568 31550352 63100704 130802501 261605002 288554261 392407503 523210004 577108522 784815006 865662783 1046420008 1154217044 1569630012 1731325566 2092840016 2308434088 3139260024 3462651132 4185680032 4616868176 6278520048 6925302264 9233736352 12557040096 13850604528 27701209056 57422297939 114844595878 172266893817 229689191756 344533787634 459378383512 689067575268 918756767024 1378135150536 1837513534048 2756270301072 5512540602144