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4965428313021 = 31117433176191049
BaseRepresentation
bin100100001000001101010…
…0101110011101110111101
3122120200122020101110111010
41020100122211303232331
51122323144122004041
614321030345145433
71021511641161621
oct110203245635675
918520566343433
104965428313021
11164490a91a430
126823bba8b279
132a0312816057
141324840d1181
1589267598a16
hex4841a973bbd

4965428313021 has 128 divisors (see below), whose sum is σ = 7869996288000. Its totient is φ = 2750654914560.

The previous prime is 4965428313017. The next prime is 4965428313023. The reversal of 4965428313021 is 1203138245694.

It is not a de Polignac number, because 4965428313021 - 22 = 4965428313017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965428313023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4733486905 + ... + 4733487953.

It is an arithmetic number, because the mean of its divisors is an integer number (61484346000).

Almost surely, 24965428313021 is an apocalyptic number.

It is an amenable number.

4965428313021 is a deficient number, since it is larger than the sum of its proper divisors (2904567974979).

4965428313021 is a wasteful number, since it uses less digits than its factorization.

4965428313021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4965428313021 in words is "four trillion, nine hundred sixty-five billion, four hundred twenty-eight million, three hundred thirteen thousand, twenty-one".

Divisors: 1 3 11 17 33 43 51 129 187 317 473 561 619 731 951 1049 1419 1857 2193 3147 3487 5389 6809 8041 10461 10523 11539 13631 16167 17833 20427 24123 26617 31569 34617 40893 45107 53499 59279 79851 115753 135321 149941 177837 196163 196223 231727 292787 332533 347259 449823 452489 496177 588489 588669 649331 695181 766819 878361 997599 1357467 1488531 1947993 2158453 2300457 2548997 3335791 3657863 4977379 5653061 6475359 7142641 7646991 8435009 8437589 10007373 10973589 11038627 14298919 14932137 16959183 21427923 25305027 25312767 27921233 33115881 36693701 42896757 62183671 83763699 92813479 110081103 121424897 143439013 157288109 186551013 205837927 243081623 278440437 307133563 364274691 430317039 471864327 474660961 617513781 729244869 921400689 1423982883 1577829143 2264217197 2673897853 3499244759 4733487429 5221270571 6792651591 8021693559 8851030861 10497734277 15663811713 26553092583 38491692349 97361339471 115475077047 150467524637 292084018413 451402573911 1655142771007 4965428313021