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71046744384 = 263711193141199
BaseRepresentation
bin100001000101010110…
…1110100100101000000
320210101100222120020010
41002022231310211000
52131000431310014
652345522144520
75063414235360
oct1021255644500
9223340876203
1071046744384
1128149042680
12119294b2140
136913270125
14361da509a0
151cac477359
hex108ab74940

71046744384 has 896 divisors, whose sum is σ = 262176768000. Its totient is φ = 16422912000.

The previous prime is 71046744371. The next prime is 71046744389. The reversal of 71046744384 is 48344764017.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71046744389) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357018717 + ... + 357018915.

It is an arithmetic number, because the mean of its divisors is an integer number (292608000).

Almost surely, 271046744384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71046744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088384000).

71046744384 is an abundant number, since it is smaller than the sum of its proper divisors (191130023616).

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

71046744384 is a wasteful number, since it uses less digits than its factorization.

71046744384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 71046744384 in words is "seventy-one billion, forty-six million, seven hundred forty-four thousand, three hundred eighty-four".