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56349422976 = 2737311192389
BaseRepresentation
bin110100011110101011…
…111111010110000000
312101110002101021111210
4310132223333112000
51410400423013401
641515255410120
74033251123000
oct643653772600
9171402337453
1056349422976
1121996864560
12ab07383940
13541034c142
142a27ada000
1516ec0004d6
hexd1eaff580

56349422976 has 1024 divisors, whose sum is σ = 211507200000. Its totient is φ = 13113999360.

The previous prime is 56349422933. The next prime is 56349422981. The reversal of 56349422976 is 67922494365.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (19595520) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 633139540 + ... + 633139628.

It is an arithmetic number, because the mean of its divisors is an integer number (206550000).

Almost surely, 256349422976 is an apocalyptic number.

56349422976 is a gapful number since it is divisible by the number (56) 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 56349422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600000).

56349422976 is an abundant number, since it is smaller than the sum of its proper divisors (155157777024).

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

56349422976 is a wasteful number, since it uses less digits than its factorization.

56349422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The spelling of 56349422976 in words is "fifty-six billion, three hundred forty-nine million, four hundred twenty-two thousand, nine hundred seventy-six".