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21571416672 = 25313139124351
BaseRepresentation
bin10100000101110000…
…011011001001100000
32001200100102111200020
4110011300123021200
5323134240313142
613524302153440
71362363005421
oct240560331140
961610374606
1021571416672
11916a558693
124220282880
13205a1134a0
141088c99648
15863bc0cec
hex505c1b260

21571416672 has 96 divisors (see below), whose sum is σ = 61419939840. Its totient is φ = 6589555200.

The previous prime is 21571416667. The next prime is 21571416689. The reversal of 21571416672 is 27661417512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×215714166723 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 111297 + ... + 235647.

It is an arithmetic number, because the mean of its divisors is an integer number (639791040).

Almost surely, 221571416672 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 21571416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709969920).

21571416672 is an abundant number, since it is smaller than the sum of its proper divisors (39848523168).

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

21571416672 is a wasteful number, since it uses less digits than its factorization.

21571416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124516 (or 124508 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 21571416672 in words is "twenty-one billion, five hundred seventy-one million, four hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 4448 5421 6672 7228 10842 13344 14456 21684 28912 43368 57824 86736 124351 173472 248702 373053 497404 746106 994808 1492212 1616563 1989616 2984424 3233126 3979232 4849689 5968848 6466252 9699378 11937696 12932504 17284789 19398756 25865008 34569578 38797512 51730016 51854367 69139156 77595024 103708734 138278312 155190048 207417468 224702257 276556624 414834936 449404514 553113248 674106771 829669872 898809028 1348213542 1659339744 1797618056 2696427084 3595236112 5392854168 7190472224 10785708336 21571416672