Search a number
-
+
1055605055504 = 241931474095827
BaseRepresentation
bin11110101110001101111…
…01101110000000010000
310201220200221010220210012
433113012331232000100
5114243334343234004
62124534355454052
7136156606632326
oct17270675560020
93656627126705
101055605055504
1137775259711a
121506bbbb7328
137870a342b4c
143913d339d16
151c6d322d46e
hexf5c6f6e010

1055605055504 has 160 divisors (see below), whose sum is σ = 2275549593600. Its totient is φ = 472359029760.

The previous prime is 1055605055489. The next prime is 1055605055587. The reversal of 1055605055504 is 4055505065501.

It is a happy number.

1055605055504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556050555042 (a number of 25 digits) contains 22 as substring.

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, 181154639 + ... + 181160465.

It is an arithmetic number, because the mean of its divisors is an integer number (14222184960).

Almost surely, 21055605055504 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 1055605055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137774796800).

1055605055504 is an abundant number, since it is smaller than the sum of its proper divisors (1219944538096).

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

1055605055504 is a wasteful number, since it uses less digits than its factorization.

1055605055504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 1055605055504 in words is "one trillion, fifty-five billion, six hundred five million, fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 31 38 47 62 76 94 124 152 188 248 304 376 409 496 589 752 818 893 1178 1457 1636 1786 2356 2914 3272 3572 4712 5827 5828 6544 7144 7771 9424 11654 11656 12679 14288 15542 19223 23308 23312 25358 27683 31084 38446 46616 50716 55366 62168 76892 93232 101432 110713 110732 124336 153784 180637 202864 221426 221464 240901 273869 307568 361274 365237 442852 442928 481802 547738 595913 722548 730474 885704 963604 1095476 1191826 1445096 1460948 1771408 1927208 2190952 2383243 2383652 2890192 2921896 3432103 3854416 4381904 4766486 4767304 5203511 5843792 6864206 8489939 9532972 9534608 10407022 11322347 13728412 16979878 19065944 20814044 22644694 27456824 33959756 38131888 41628088 45281617 45289388 54913648 67919512 73880533 83256176 90563234 90578776 112012421 135839024 147761066 161308841 181126468 181157552 224024842 295522132 322617682 362252936 448049684 591044264 645235364 724505872 896099368 1182088528 1290470728 1403730127 1792198736 2128235999 2580941456 2807460254 3472385051 4256471998 5614920508 6944770102 8512943996 11229841016 13889540204 17025887992 22459682032 27779080408 34051775984 55558160816 65975315969 131950631938 263901263876 527802527752 1055605055504