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5442266575476 = 22325937321133251
BaseRepresentation
bin100111100110010000001…
…0111011011001001110100
3201021021102220200222221100
41033030200113123021310
51203131230220403401
615324050500050100
71101122303424543
oct117144027331164
921237386628840
105442266575476
111809063669675
1273a8b8093930
13306285226383
1414b59b16415a
1596874abeb86
hex4f3205db274

5442266575476 has 144 divisors (see below), whose sum is σ = 14038469565120. Its totient is φ = 1777171968000.

The previous prime is 5442266575433. The next prime is 5442266575513. The reversal of 5442266575476 is 6745756622445.

5442266575476 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 26 + 65 + 7 + 547 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1674026851 + ... + 1674030101.

It is an arithmetic number, because the mean of its divisors is an integer number (97489371980).

Almost surely, 25442266575476 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 5442266575476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019234782560).

5442266575476 is an abundant number, since it is smaller than the sum of its proper divisors (8596202989644).

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

5442266575476 is a wasteful number, since it uses less digits than its factorization.

5442266575476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5801 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 5442266575476 in words is "five trillion, four hundred forty-two billion, two hundred sixty-six million, five hundred seventy-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 373 531 708 746 1062 1119 1492 2113 2124 2238 3251 3357 4226 4476 6339 6502 6714 8452 9753 12678 13004 13428 19017 19506 22007 25356 29259 38034 39012 44014 58518 66021 76068 88028 117036 124667 132042 191809 198063 249334 264084 374001 383618 396126 498668 575427 748002 767236 788149 792252 1122003 1150854 1212623 1496004 1576298 1726281 2244006 2301708 2364447 2425246 3152596 3452562 3637869 4488012 4728894 4850492 6869363 6905124 7093341 7275738 9457788 10913607 13738726 14186682 14551476 20608089 21827214 27477452 28373364 41216178 43654428 46500791 61824267 71544757 82432356 93001582 123648534 139502373 143089514 186003164 214634271 247297068 279004746 286179028 405292417 418507119 429268542 558009492 643902813 810584834 837014238 858537084 1215877251 1287805626 1621169668 1674028476 2431754502 2562272399 2575611252 3647631753 4863509004 5124544798 7295263506 7686817197 10249089596 14590527012 15373634394 23060451591 30747268788 46120903182 92241806364 151174071541 302348143082 453522214623 604696286164 907044429246 1360566643869 1814088858492 2721133287738 5442266575476