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71376241408 = 285317929389
BaseRepresentation
bin100001001111001011…
…0110000001100000000
320211020022222202011121
41002132112300030000
52132134304211113
652442332322024
75104525020163
oct1023626601400
9224208882147
1071376241408
11282a803366a
12119bb913314
1369665c7c94
143651701ada
151ccb360e8d
hex109e5b0300

71376241408 has 72 divisors (see below), whose sum is σ = 145977778800. Its totient is φ = 34817961984.

The previous prime is 71376241397. The next prime is 71376241411. The reversal of 71376241408 is 80414267317.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2413978 + ... + 2443366.

It is an arithmetic number, because the mean of its divisors is an integer number (2027469150).

Almost surely, 271376241408 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 71376241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72988889400).

71376241408 is an abundant number, since it is smaller than the sum of its proper divisors (74601537392).

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

71376241408 is a wasteful number, since it uses less digits than its factorization.

71376241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29637 (or 29623 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 71376241408 in words is "seventy-one billion, three hundred seventy-six million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 179 212 256 358 424 716 848 1432 1696 2864 3392 5728 6784 9487 11456 13568 18974 22912 29389 37948 45824 58778 75896 117556 151792 235112 303584 470224 607168 940448 1214336 1557617 1880896 2428672 3115234 3761792 5260631 6230468 7523584 10521262 12460936 21042524 24921872 42085048 49843744 84170096 99687488 168340192 199374976 278813443 336680384 398749952 557626886 673360768 1115253772 1346721536 2230507544 4461015088 8922030176 17844060352 35688120704 71376241408