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487140749568 = 2834112316263
BaseRepresentation
bin1110001011010111101…
…10011111000100000000
31201120101200021002220000
413011223312133010000
530440131012441233
61011442300520000
750123542023324
oct7055366370400
91646350232800
10487140749568
11178660287300
127a4b2550000
1336c24c89655
1419813455984
15ca11c34d13
hex716bd9f100

487140749568 has 540 divisors, whose sum is σ = 1648388738304. Its totient is φ = 142833715200.

The previous prime is 487140749567. The next prime is 487140749573. The reversal of 487140749568 is 865947041784.

487140749568 is a `hidden beast` number, since 4 + 87 + 1 + 4 + 0 + 7 + 495 + 68 = 666.

It is a super-2 number, since 2×4871407495682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (487140749567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77777605 + ... + 77783867.

Almost surely, 2487140749568 is an apocalyptic number.

487140749568 is a gapful number since it is divisible by the number (48) 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 487140749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824194369152).

487140749568 is an abundant number, since it is smaller than the sum of its proper divisors (1161247988736).

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

487140749568 is a wasteful number, since it uses less digits than its factorization.

487140749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 487140749568 in words is "four hundred eighty-seven billion, one hundred forty million, seven hundred forty-nine thousand, five hundred sixty-eight".