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71143163104 = 25133716012887
BaseRepresentation
bin100001001000001110…
…1101000010011100000
320210122002102010211211
41002100131220103200
52131200122204404
652403244515504
75065664623456
oct1022035502340
9223562363754
1071143163104
1128198508472
121195584bb94
13692a22b820
14362c78c9d6
151cb5b70b04
hex10907684e0

71143163104 has 96 divisors (see below), whose sum is σ = 155064321216. Its totient is φ = 31916851200.

The previous prime is 71143163081. The next prime is 71143163107. The reversal of 71143163104 is 40136134117.

It is a happy number.

It is a super-2 number, since 2×711431631042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71143163107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24641149 + ... + 24644035.

It is an arithmetic number, because the mean of its divisors is an integer number (1615253346).

Almost surely, 271143163104 is an apocalyptic number.

71143163104 is a gapful number since it is divisible by the number (74) 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 71143163104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77532160608).

71143163104 is an abundant number, since it is smaller than the sum of its proper divisors (83921158112).

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

71143163104 is a wasteful number, since it uses less digits than its factorization.

71143163104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 71143163104 in words is "seventy-one billion, one hundred forty-three million, one hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1601 1924 2887 3202 3848 5774 6404 7696 11548 12808 15392 20813 23096 25616 37531 41626 46192 51232 59237 75062 83252 92384 106819 118474 150124 166504 213638 236948 300248 333008 427276 473896 600496 666016 770081 854552 947792 1200992 1388647 1540162 1709104 1895584 2777294 3080324 3418208 4622087 5554588 6160648 9244174 11109176 12321296 18488348 22218352 24642592 36976696 44436704 60087131 73953392 120174262 147906784 171017219 240348524 342034438 480697048 684068876 961394096 1368137752 1922788192 2223223847 2736275504 4446447694 5472551008 8892895388 17785790776 35571581552 71143163104