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16442667617244 = 22311599523739709
BaseRepresentation
bin1110111101000101101101…
…0111001100101111011100
32011012220101202222201010120
43233101123113030233130
54123344040402222434
654545353543234540
73314641426462161
oct357213327145734
964186352881116
1016442667617244
11526a329235160
121a16848148a50
139236c9764c3b
1440bb87a92068
151d7aa1596349
hexef45b5ccbdc

16442667617244 has 96 divisors (see below), whose sum is σ = 41932997568000. Its totient is φ = 4973233224960.

The previous prime is 16442667617221. The next prime is 16442667617263. The reversal of 16442667617244 is 44271676624461.

It is a super-3 number, since 3×164426676172443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414059262 + ... + 414098970.

It is an arithmetic number, because the mean of its divisors is an integer number (436802058000).

Almost surely, 216442667617244 is an apocalyptic number.

It is an amenable number.

16442667617244 is an abundant number, since it is smaller than the sum of its proper divisors (25490329950756).

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

16442667617244 is a wasteful number, since it uses less digits than its factorization.

16442667617244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45563 (or 45561 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 16442667617244 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, six hundred seventeen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 599 1198 1797 2396 3594 5237 6589 7188 10474 13178 15711 19767 20948 26356 31422 39534 39709 57607 62844 79068 79418 115214 119127 158836 172821 230428 238254 345642 436799 476508 691284 873598 1310397 1747196 2620794 3136963 5241588 6273926 9410889 12547852 18821778 23785691 34506593 37643556 47571382 69013186 71357073 95142764 103519779 138026372 142714146 207039558 207956033 261642601 285428292 414079116 415912066 523285202 623868099 784927803 831824132 1046570404 1247736198 1569855606 2287516363 2495472396 3139711212 4575032726 6862549089 9150065452 13725098178 27450196356 124565663767 249131327534 373696991301 498262655068 747393982602 1370222301437 1494787965204 2740444602874 4110666904311 5480889205748 8221333808622 16442667617244