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52681041266448 = 2437250514434449
BaseRepresentation
bin10111111101001110000101…
…10000000100011100010000
320220112020222100022001122010
423332213002300010130100
523401111233031011243
6304013200344142520
714045036212241100
oct1376470260043420
9226466870261563
1052681041266448
11158709a4448431
125aa9b32167a40
132351a546a493a
14d01ac14c7200
1561554c5ac433
hex2fe9c2c04710

52681041266448 has 120 divisors (see below), whose sum is σ = 158343283015200. Its totient is φ = 15048742732800.

The previous prime is 52681041266437. The next prime is 52681041266479. The reversal of 52681041266448 is 84466214018625.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9662728 + ... + 14097176.

It is an arithmetic number, because the mean of its divisors is an integer number (1319527358460).

Almost surely, 252681041266448 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 52681041266448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79171641507600).

52681041266448 is an abundant number, since it is smaller than the sum of its proper divisors (105662241748752).

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

52681041266448 is a wasteful number, since it uses less digits than its factorization.

52681041266448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439525 (or 4439512 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 52681041266448 in words is "fifty-two trillion, six hundred eighty-one billion, forty-one million, two hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5051 10102 15153 20204 30306 35357 40408 60612 70714 80816 106071 121224 141428 212142 242448 247499 282856 424284 494998 565712 742497 848568 989996 1484994 1697136 1979992 2969988 3959984 4434449 5939976 8868898 11879952 13303347 17737796 26606694 31041143 35475592 53213388 62082286 70951184 93123429 106426776 124164572 186246858 212853552 217288001 248329144 372493716 434576002 496658288 651864003 744987432 869152004 1303728006 1489974864 1738304008 2607456012 3476608016 5214912024 10429824048 22398401899 44796803798 67195205697 89593607596 134390411394 156788813293 179187215192 268780822788 313577626586 358374430384 470366439879 537561645576 627155253172 940732879758 1075123291152 1097521693051 1254310506344 1881465759516 2195043386102 2508621012688 3292565079153 3762931519032 4390086772204 6585130158306 7525863038064 8780173544408 13170260316612 17560347088816 26340520633224 52681041266448