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2171083512 = 233132312557
BaseRepresentation
bin1000000101101000…
…0001101011111000
312121022021110200110
42001122001223320
513421244133022
6555233504320
7104541622353
oct20132015370
95538243613
102171083512
11a1457a1a4
125071120a0
13287a48900
141684b129a
15ca90900c
hex81681af8

2171083512 has 144 divisors (see below), whose sum is σ = 6083952120. Its totient is φ = 645315840.

The previous prime is 2171083489. The next prime is 2171083529. The reversal of 2171083512 is 2153801712.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2171083512.

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 35 ways as a sum of consecutive naturals, for example, 3897538 + ... + 3898094.

Almost surely, 22171083512 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 2171083512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041976060).

2171083512 is an abundant number, since it is smaller than the sum of its proper divisors (3912868608).

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

2171083512 is a wasteful number, since it uses less digits than its factorization.

2171083512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 2171083512 is about 46594.8871873299. The cubic root of 2171083512 is about 1294.8680340375.

The spelling of 2171083512 in words is "two billion, one hundred seventy-one million, eighty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 557 676 744 806 961 1014 1114 1209 1352 1612 1671 1922 2028 2228 2418 2883 3224 3342 3844 4056 4456 4836 5239 5766 6684 7241 7688 9672 10478 11532 12493 13368 14482 15717 17267 20956 21723 23064 24986 28964 31434 34534 37479 41912 43446 49972 51801 57928 62868 69068 74958 86892 94133 99944 103602 125736 138136 149916 162409 173784 188266 207204 224471 282399 299832 324818 376532 414408 448942 487227 535277 564798 649636 673413 753064 897884 974454 1070554 1129596 1299272 1346826 1605831 1795768 1948908 2141108 2259192 2693652 2918123 3211662 3897816 4282216 5387304 5836246 6423324 6958601 8754369 11672492 12846648 13917202 17508738 20875803 23344984 27834404 35017476 41751606 55668808 70034952 83503212 90461813 167006424 180923626 271385439 361847252 542770878 723694504 1085541756 2171083512