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631145945088 = 21131017307
BaseRepresentation
bin10010010111100110011…
…10101101100000000000
32020100002122110000000000
421023303032231200000
540320041330220323
61201540000000000
763412246005441
oct11136316554000
92210078400000
10631145945088
1122373848308a
12a23a1600000
134769456bb09
142279498b2c8
151163e3a5e43
hex92f33ad800

631145945088 has 528 divisors, whose sum is σ = 2010844475640. Its totient is φ = 197361598464.

The previous prime is 631145945083. The next prime is 631145945093. The reversal of 631145945088 is 880549541136.

It is a happy number.

631145945088 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 45 + 94 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (631145945083) and next prime (631145945093).

It is a super-2 number, since 2×6311459450882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631145945083) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 2055849831 + ... + 2055850137.

Almost surely, 2631145945088 is an apocalyptic number.

631145945088 is a gapful number since it is divisible by the number (68) 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 631145945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005422237820).

631145945088 is an abundant number, since it is smaller than the sum of its proper divisors (1379698530552).

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

631145945088 is an frugal number, since it uses more digits than its factorization.

631145945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 631145945088 in words is "six hundred thirty-one billion, one hundred forty-five million, nine hundred forty-five thousand, eighty-eight".