Search a number
-
+
57580140576 = 253785684733
BaseRepresentation
bin110101101000000010…
…110011100000100000
312111121212012012200010
4311220002303200200
51420411003444301
642241342124520
74105614055650
oct655002634040
9174555165603
1057580140576
1122468540942
12b1ab580740
13557830a0ca
142b03344360
1517700a75d6
hexd680b3820

57580140576 has 48 divisors (see below), whose sum is σ = 172740423744. Its totient is φ = 16451468544.

The previous prime is 57580140517. The next prime is 57580140613. The reversal of 57580140576 is 67504108575.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×575801405762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42841695 + ... + 42843038.

It is an arithmetic number, because the mean of its divisors is an integer number (3598758828).

Almost surely, 257580140576 is an apocalyptic number.

57580140576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57580140576 is an abundant number, since it is smaller than the sum of its proper divisors (115160283168).

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

57580140576 is a wasteful number, since it uses less digits than its factorization.

57580140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85684753 (or 85684745 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 57580140576 in words is "fifty-seven billion, five hundred eighty million, one hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 85684733 171369466 257054199 342738932 514108398 599793131 685477864 1028216796 1199586262 1370955728 1799379393 2056433592 2399172524 2741911456 3598758786 4112867184 4798345048 7197517572 8225734368 9596690096 14395035144 19193380192 28790070288 57580140576