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2421287684376 = 2331130750958693
BaseRepresentation
bin100011001110111111111…
…111100000100100011000
322120110202200221122002120
4203032333333200210120
5304132244121400001
65052154010101240
7336634523510601
oct43167777404430
98513680848076
102421287684376
11853953858570
1233131841a820
13147432292752
1485295d70da8
1542eb36ed236
hex233bffe0918

2421287684376 has 128 divisors (see below), whose sum is σ = 6638150534400. Its totient is φ = 729884321280.

The previous prime is 2421287684351. The next prime is 2421287684381. The reversal of 2421287684376 is 6734867821242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41224086 + ... + 41282778.

It is an arithmetic number, because the mean of its divisors is an integer number (51860551050).

Almost surely, 22421287684376 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 2421287684376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319075267200).

2421287684376 is an abundant number, since it is smaller than the sum of its proper divisors (4216862850024).

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

2421287684376 is a wasteful number, since it uses less digits than its factorization.

2421287684376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59529 (or 59525 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 2421287684376 in words is "two trillion, four hundred twenty-one billion, two hundred eighty-seven million, six hundred eighty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 307 509 614 921 1018 1228 1527 1842 2036 2456 3054 3377 3684 4072 5599 6108 6754 7368 10131 11198 12216 13508 16797 20262 22396 27016 33594 40524 44792 58693 67188 81048 117386 134376 156263 176079 234772 312526 352158 468789 469544 625052 645623 704316 937578 1250104 1291246 1408632 1718893 1875156 1936869 2582492 3437786 3750312 3873738 5156679 5164984 6875572 7747476 10313358 13751144 15494952 18018751 20626716 29874737 36037502 41253432 54056253 59749474 72075004 89624211 108112506 119498948 144150008 179248422 198206261 216225012 238997896 328622107 358496844 396412522 432450024 594618783 657244214 716993688 792825044 985866321 1189237566 1314488428 1585650088 1971732642 2378475132 2628976856 3943465284 4756950264 7886930568 9171544259 18343088518 27514632777 36686177036 55029265554 73372354072 100886986849 110058531108 201773973698 220117062216 302660960547 403547947396 605321921094 807095894792 1210643842188 2421287684376