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4084199405496 = 2333726631014341
BaseRepresentation
bin111011011011101101010…
…000010011011110111000
3112110110000212201200022000
4323123231100103132320
51013403420021433441
612404131051301000
7601034161101330
oct73335520233670
915413025650260
104084199405496
1113351100a9201
1255b66614a760
132381a4c5b772
14101967ad80c0
157138ce8c2b6
hex3b6ed4137b8

4084199405496 has 128 divisors (see below), whose sum is σ = 12970594022400. Its totient is φ = 1166474770560.

The previous prime is 4084199405441. The next prime is 4084199405521. The reversal of 4084199405496 is 6945049914804.

4084199405496 is a `hidden beast` number, since 4 + 0 + 8 + 41 + 9 + 9 + 40 + 549 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3519286 + ... + 4533626.

It is an arithmetic number, because the mean of its divisors is an integer number (101332765800).

Almost surely, 24084199405496 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 4084199405496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485297011200).

4084199405496 is an abundant number, since it is smaller than the sum of its proper divisors (8886394616904).

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

4084199405496 is a wasteful number, since it uses less digits than its factorization.

4084199405496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017026 (or 1017016 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4084199405496 in words is "four trillion, eighty-four billion, one hundred ninety-nine million, four hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2663 5326 7989 10652 15978 18641 21304 23967 31956 37282 47934 55923 63912 71901 74564 95868 111846 143802 149128 167769 191736 223692 287604 335538 447384 503307 575208 671076 1006614 1014341 1342152 2013228 2028682 3043023 4026456 4057364 6086046 7100387 8114728 9129069 12172092 14200774 18258138 21301161 24344184 27387207 28401548 36516276 42602322 54774414 56803096 63903483 73032552 85204644 109548828 127806966 170409288 191710449 219097656 255613932 383420898 511227864 766841796 1533683592 2701190083 5402380166 8103570249 10804760332 16207140498 18908330581 21609520664 24310710747 32414280996 37816661162 48621421494 56724991743 64828561992 72932132241 75633322324 97242842988 113449983486 145864264482 151266644648 170174975229 194485685976 226899966972 291728528964 340349950458 453799933944 510524925687 583457057928 680699900916 1021049851374 1361399801832 2042099702748 4084199405496