Search a number
-
+
383128605552 = 2437113856697
BaseRepresentation
bin1011001001101000011…
…11101001001101110000
31100121220220001201201210
411210310033221031300
522234121410334202
6452001251400120
736452166262050
oct5446417511560
91317826051653
10383128605552
11138536123000
1262304bb3040
132a18a195ac4
14147875dd560
159e75676c6c
hex59343e9370

383128605552 has 160 divisors (see below), whose sum is σ = 1244172225024. Its totient is φ = 99513807360.

The previous prime is 383128605551. The next prime is 383128605611. The reversal of 383128605552 is 255506821383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383128605551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18868 + ... + 875564.

Almost surely, 2383128605552 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 383128605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622086112512).

383128605552 is an abundant number, since it is smaller than the sum of its proper divisors (861043619472).

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

383128605552 is a wasteful number, since it uses less digits than its factorization.

383128605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856748 (or 856720 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 383128605552 in words is "three hundred eighty-three billion, one hundred twenty-eight million, six hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1331 1452 1694 1848 1936 2541 2662 2904 3388 3696 3993 5082 5324 5808 6776 7986 9317 10164 10648 13552 15972 18634 20328 21296 27951 31944 37268 40656 55902 63888 74536 111804 149072 223608 447216 856697 1713394 2570091 3426788 5140182 5996879 6853576 9423667 10280364 11993758 13707152 17990637 18847334 20560728 23987516 28271001 35981274 37694668 41121456 47975032 56542002 65965669 71962548 75389336 95950064 103660337 113084004 131931338 143925096 150778672 197897007 207320674 226168008 263862676 287850192 310981011 395794014 414641348 452336016 527725352 621962022 725622359 791588028 829282696 1055450704 1140263707 1243924044 1451244718 1583176056 1658565392 2176867077 2280527414 2487848088 2902489436 3166352112 3420791121 4353734154 4561054828 4975696176 5804978872 6841582242 7981845949 8707468308 9122109656 11609957744 13683164484 15963691898 17414936616 18244219312 23945537847 27366328968 31927383796 34829873232 47891075694 54732657936 63854767592 95782151388 127709535184 191564302776 383128605552