Search a number
-
+
990574308340064 = 25741107858700821
BaseRepresentation
bin1110000100111011000000110…
…1110001011011000101100000
311210220022222102201101112122022
43201032300031301123011200
52014314032140413340224
613430435315515201012
7415435426540064450
oct34116601561330540
94726288381345568
10990574308340064
1126769a228925808
1293123b2b746168
13336959aac43c06
14136880a387bd60
15797c19e97c65e
hex384ec0dc5b160

990574308340064 has 48 divisors (see below), whose sum is σ = 2283152979000096. Its totient is φ = 414177411148800.

The previous prime is 990574308340039. The next prime is 990574308340073. The reversal of 990574308340064 is 460043803475099.

It is a junction number, because it is equal to n+sod(n) for n = 990574308339979 and 990574308340006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53929341227 + ... + 53929359594.

It is an arithmetic number, because the mean of its divisors is an integer number (47565687062502).

Almost surely, 2990574308340064 is an apocalyptic number.

It is an amenable number.

990574308340064 is an abundant number, since it is smaller than the sum of its proper divisors (1292578670660032).

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

990574308340064 is a wasteful number, since it uses less digits than its factorization.

990574308340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107858700879 (or 107858700871 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 62.

The spelling of 990574308340064 in words is "nine hundred ninety trillion, five hundred seventy-four billion, three hundred eight million, three hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 107858700821 215717401642 431434803284 755010905747 862869606568 1510021811494 1725739213136 3020043622988 3451478426272 4422206733661 6040087245976 8844413467322 12080174491952 17688826934644 24160348983904 30955447135627 35377653869288 61910894271254 70755307738576 123821788542508 141510615477152 247643577085016 495287154170032 990574308340064