Search a number
-
+
530631552000 = 21035311269467
BaseRepresentation
bin1111011100011000001…
…10101110110000000000
31212201122121212210002110
413232030012232300000
532143213134131000
61043434015415320
753223354525564
oct7561406566000
91781577783073
10530631552000
1119504874a930
1286a0b524540
133b066307c84
141b97b4a96a4
15dc09e0d850
hex7b8c1aec00

530631552000 has 704 divisors, whose sum is σ = 1936837992960. Its totient is φ = 127885312000.

The previous prime is 530631551971. The next prime is 530631552047. The reversal of 530631552000 is 255136035.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1136255767 + ... + 1136256233.

Almost surely, 2530631552000 is an apocalyptic number.

530631552000 is a gapful number since it is divisible by the number (50) 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 530631552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968418996480).

530631552000 is an abundant number, since it is smaller than the sum of its proper divisors (1406206440960).

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

530631552000 is a wasteful number, since it uses less digits than its factorization.

530631552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 530631552000 its reverse (255136035), we get a palindrome (530886688035).

The spelling of 530631552000 in words is "five hundred thirty billion, six hundred thirty-one million, five hundred fifty-two thousand".