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63671397120 = 283256782493
BaseRepresentation
bin111011010011000111…
…000110101100000000
320002100100222002210100
4323103013012230000
52020344334201440
645130015002400
74412556642252
oct732307065400
9202310862710
1063671397120
1125003931061
121040b509400
136009277a16
143120309cd2
1519c9c19230
hexed31c6b00

63671397120 has 216 divisors, whose sum is σ = 223587117936. Its totient is φ = 16725417984.

The previous prime is 63671397113. The next prime is 63671397131. The reversal of 63671397120 is 2179317636.

63671397120 is a `hidden beast` number, since 636 + 7 + 1 + 3 + 9 + 7 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×636713971202 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730594 + ... + 813086.

It is an arithmetic number, because the mean of its divisors is an integer number (1035125546).

Almost surely, 263671397120 is an apocalyptic number.

63671397120 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 63671397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793558968).

63671397120 is an abundant number, since it is smaller than the sum of its proper divisors (159915720816).

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

63671397120 is a wasteful number, since it uses less digits than its factorization.

63671397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82587 (or 82570 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 63671397120 in words is "sixty-three billion, six hundred seventy-one million, three hundred ninety-seven thousand, one hundred twenty".