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71002939392 = 213337112379
BaseRepresentation
bin100001000100000011…
…0101110000000000000
320210021022120001002000
41002020012232000000
52130403223030032
652341315224000
75062343012130
oct1021006560000
9223238501060
1071002939392
1128126343300
12119168a8000
136907173708
143617ccaac0
151ca86c2e7c
hex10881ae000

71002939392 has 672 divisors, whose sum is σ = 264958982400. Its totient is φ = 18393661440.

The previous prime is 71002939379. The next prime is 71002939439. The reversal of 71002939392 is 29393920017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187342659 + ... + 187343037.

It is an arithmetic number, because the mean of its divisors is an integer number (394284200).

Almost surely, 271002939392 is an apocalyptic number.

71002939392 is a gapful number since it is divisible by the number (72) 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 71002939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132479491200).

71002939392 is an abundant number, since it is smaller than the sum of its proper divisors (193956043008).

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

71002939392 is a wasteful number, since it uses less digits than its factorization.

71002939392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

It can be divided in two parts, 7100 and 2939392, that added together give a palindrome (2946492).

The spelling of 71002939392 in words is "seventy-one billion, two million, nine hundred thirty-nine thousand, three hundred ninety-two".