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71006703936 = 2637193118941
BaseRepresentation
bin100001000100001010…
…1000101000101000000
320210021120122022001120
41002020111011011000
52130410204011221
652341532032240
75062420011360
oct1021025050500
9223246568046
1071006703936
11281284846a3
1211918002680
136907b9105c
1436185ca9a0
151ca8bb85c6
hex1088545140

71006703936 has 224 divisors, whose sum is σ = 226763397120. Its totient is φ = 19155916800.

The previous prime is 71006703913. The next prime is 71006703949. The reversal of 71006703936 is 63930760017.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7937226 + ... + 7946166.

Almost surely, 271006703936 is an apocalyptic number.

71006703936 is a gapful number since it is divisible by the number (76) 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 71006703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113381698560).

71006703936 is an abundant number, since it is smaller than the sum of its proper divisors (155756693184).

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

71006703936 is a wasteful number, since it uses less digits than its factorization.

71006703936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The spelling of 71006703936 in words is "seventy-one billion, six million, seven hundred three thousand, nine hundred thirty-six".