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630255255840 = 25325731276027
BaseRepresentation
bin10010010101111100010…
…01000000000100100000
32020020210120110022001100
421022332021000010200
540311230321141330
61201311341234400
763351212166000
oct11127611000440
92206716408040
10630255255840
11223320730071
12a2193262a00
1347581b85362
142270c576000
15115db0b8060
hex92be240120

630255255840 has 288 divisors, whose sum is σ = 2508160636800. Its totient is φ = 144058231296.

The previous prime is 630255255829. The next prime is 630255255947. The reversal of 630255255840 is 48552552036.

630255255840 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 5 + 52 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 144094 + ... + 1131933.

It is an arithmetic number, because the mean of its divisors is an integer number (8708891100).

Almost surely, 2630255255840 is an apocalyptic number.

630255255840 is a gapful number since it is divisible by the number (60) 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 630255255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254080318400).

630255255840 is an abundant number, since it is smaller than the sum of its proper divisors (1877905380960).

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

630255255840 is a wasteful number, since it uses less digits than its factorization.

630255255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276069 (or 1276044 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 630255255840 in words is "six hundred thirty billion, two hundred fifty-five million, two hundred fifty-five thousand, eight hundred forty".