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9995575450084 = 2274322612
BaseRepresentation
bin1001000101110100011010…
…1110010101100111100100
31022101120022211122211101021
42101131012232111213210
52302231414303400314
633131523131340524
72051104451320000
oct221350656254744
938346284584337
109995575450084
1132041108371a4
121155261bb1744
1357676a5ab153
14267b07663700
1512501b7aa324
hex91746b959e4

9995575450084 has 45 divisors (see below), whose sum is σ = 20407051537481. Its totient is φ = 4283685263760.

The previous prime is 9995575450061. The next prime is 9995575450087. The reversal of 9995575450084 is 4800545755999.

The square root of 9995575450084 is 3161578.

It is a perfect power (a square), and thus also a powerful number.

9995575450084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 920298699684 + 9075276750400 = 959322^2 + 3012520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9995575449995 and 9995575450022.

It is not an unprimeable number, because it can be changed into a prime (9995575450087) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 309818514 + ... + 309850774.

Almost surely, 29995575450084 is an apocalyptic number.

9995575450084 is the 3161578-th square number.

It is an amenable number.

9995575450084 is an abundant number, since it is smaller than the sum of its proper divisors (10411476087397).

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

9995575450084 is an frugal number, since it uses more digits than its factorization.

9995575450084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64554 (or 32270 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 70.

The spelling of 9995575450084 in words is "nine trillion, nine hundred ninety-five billion, five hundred seventy-five million, four hundred fifty thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 32261 64522 129044 225827 451654 903308 1580789 3161578 6323156 11065523 22131046 44262092 77458661 154917322 309834644 1040772121 2081544242 4163088484 7285404847 14570809694 29141619388 50997833929 101995667858 203991335716 356984837503 713969675006 1427939350012 2498893862521 4997787725042 9995575450084