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2171372928 = 27331473881
BaseRepresentation
bin1000000101101100…
…1000010110000000
312121022211011200120
42001123020112000
513421332413203
6555244020240
7104544236214
oct20133102600
95538734616
102171372928
11a1475768a
12507231680
13287b1a56a
14168548944
15ca964b53
hex816c8580

2171372928 has 128 divisors (see below), whose sum is σ = 6082007040. Its totient is φ = 685363200.

The previous prime is 2171372899. The next prime is 2171372933. The reversal of 2171372928 is 8292731712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2171372928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557548 + ... + 561428.

It is an arithmetic number, because the mean of its divisors is an integer number (47515680).

Almost surely, 22171372928 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 2171372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041003520).

2171372928 is an abundant number, since it is smaller than the sum of its proper divisors (3910634112).

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

2171372928 is a wasteful number, since it uses less digits than its factorization.

2171372928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3964 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 2171372928 is about 46597.9927464692. The cubic root of 2171372928 is about 1294.9255688849.

The spelling of 2171372928 in words is "two billion, one hundred seventy-one million, three hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 282 372 376 384 496 564 744 752 992 1128 1457 1488 1504 1984 2256 2914 2976 3008 3881 3968 4371 4512 5828 5952 6016 7762 8742 9024 11643 11656 11904 15524 17484 18048 23286 23312 31048 34968 46572 46624 62096 69936 93144 93248 120311 124192 139872 182407 186288 186496 240622 248384 279744 360933 364814 372576 481244 496768 547221 559488 721866 729628 745152 962488 1094442 1443732 1459256 1490304 1924976 2188884 2887464 2918512 3849952 4377768 5654617 5774928 5837024 7699904 8755536 11309234 11549856 11674048 15399808 16963851 17511072 22618468 23099712 23348096 33927702 35022144 45236936 46199424 67855404 70044288 90473872 135710808 180947744 271421616 361895488 542843232 723790976 1085686464 2171372928