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71676993024 = 2932721324419
BaseRepresentation
bin100001011000001001…
…0000001111000000000
320212000021220111211100
41002300102001320000
52133243302234044
652532234414400
75115136250100
oct1026022017000
9225007814740
1071676993024
112844188081a
1211a84591400
1369b39c9c10
14367d62d200
151ce796c869
hex10b0481e00

71676993024 has 360 divisors, whose sum is σ = 259159740840. Its totient is φ = 18903048192.

The previous prime is 71676992969. The next prime is 71676993029. The reversal of 71676993024 is 42039967617.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71676993029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2923087 + ... + 2947505.

It is an arithmetic number, because the mean of its divisors is an integer number (719888169).

Almost surely, 271676993024 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 71676993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129579870420).

71676993024 is an abundant number, since it is smaller than the sum of its proper divisors (187482747816).

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

71676993024 is a wasteful number, since it uses less digits than its factorization.

71676993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24470 (or 24444 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 71676993024 in words is "seventy-one billion, six hundred seventy-six million, nine hundred ninety-three thousand, twenty-four".