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2534521450640 = 245971971657937
BaseRepresentation
bin100100111000011101010…
…000000011000010010000
322222022001011020221211112
4210320131100003002100
5313011144442410030
65220202034432452
7351053542604204
oct44703520030220
98868034227745
102534521450640
11897980314083
1234b25a132728
131550097214ca
148a95880cb04
1545dde663a95
hex24e1d403090

2534521450640 has 80 divisors (see below), whose sum is σ = 5983736985072. Its totient is φ = 998263160832.

The previous prime is 2534521450603. The next prime is 2534521450661. The reversal of 2534521450640 is 460541254352.

It can be written as a sum of positive squares in 8 ways, for example, as 4882096384 + 2529639354256 = 69872^2 + 1590484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 699752 + ... + 2357688.

Almost surely, 22534521450640 is an apocalyptic number.

2534521450640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534521450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991868492536).

2534521450640 is an abundant number, since it is smaller than the sum of its proper divisors (3449215534432).

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

2534521450640 is a wasteful number, since it uses less digits than its factorization.

2534521450640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658244 (or 1658238 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 2534521450640 in words is "two trillion, five hundred thirty-four billion, five hundred twenty-one million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 197 388 394 485 776 788 970 985 1552 1576 1940 1970 3152 3880 3940 7760 7880 15760 19109 38218 76436 95545 152872 191090 305744 382180 764360 1528720 1657937 3315874 6631748 8289685 13263496 16579370 26526992 33158740 66317480 132634960 160819889 321639778 326613589 643279556 653227178 804099445 1286559112 1306454356 1608198890 1633067945 2573118224 2612908712 3216397780 3266135890 5225817424 6432795560 6532271780 12865591120 13064543560 26129087120 31681518133 63363036266 126726072532 158407590665 253452145064 316815181330 506904290128 633630362660 1267260725320 2534521450640