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71697697440 = 2535839718553
BaseRepresentation
bin100001011000110000…
…1000000101010100000
320212001201212101221120
41002301201000222200
52133314102304230
652534254252240
75115510241605
oct1026141005240
9225051771846
1071697697440
1128452532306
1211a8b4b7080
1369b8098b55
14368229c6ac
151ce96ac310
hex10b1840aa0

71697697440 has 192 divisors, whose sum is σ = 230937630336. Its totient is φ = 18693292032.

The previous prime is 71697697433. The next prime is 71697697451. The reversal of 71697697440 is 4479679617.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3855204 + ... + 3873756.

It is an arithmetic number, because the mean of its divisors is an integer number (1202800158).

Almost surely, 271697697440 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 71697697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115468815168).

71697697440 is an abundant number, since it is smaller than the sum of its proper divisors (159239932896).

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

71697697440 is a wasteful number, since it uses less digits than its factorization.

71697697440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18751 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 71697697440 in words is "seventy-one billion, six hundred ninety-seven million, six hundred ninety-seven thousand, four hundred forty".