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573145900096 = 267211212292
BaseRepresentation
bin10000101011100100010…
…10000110010001000000
32000210101112010102202111
420111302022012101000
533342300322300341
61115144413425104
756260042524400
oct10256212062100
92023345112674
10573145900096
11201084a11900
12930b549b194
1342080271673
141da51980800
15ed97507681
hex8572286440

573145900096 has 189 divisors, whose sum is σ = 1455417187077. Its totient is φ = 223121902080.

The previous prime is 573145900079. The next prime is 573145900097. The reversal of 573145900096 is 690009541375.

The square root of 573145900096 is 757064.

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

It can be written as a sum of positive squares in only one way, i.e., 565708562496 + 7437337600 = 752136^2 + 86240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (573145900097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 466350810 + ... + 466352038.

Almost surely, 2573145900096 is an apocalyptic number.

573145900096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

573145900096 is the 757064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 573145900096

573145900096 is an abundant number, since it is smaller than the sum of its proper divisors (882271286981).

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

573145900096 is an equidigital number, since it uses as much as digits as its factorization.

573145900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 573145900096 by its sum of digits (49), we get a square (28084149104704 = 52994482).

573145900096 divided by its sum of digits (49) gives a square (11696855104 = 1081522).

The spelling of 573145900096 in words is "five hundred seventy-three billion, one hundred forty-five million, nine hundred thousand, ninety-six".