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55263205404 = 2232111496071543
BaseRepresentation
bin110011011101111100…
…011001100000011100
312021122101110201010100
4303131330121200130
51401134340033104
641215414141100
73664321331631
oct633574314034
9167571421110
1055263205404
1121489703190
12a863651790
1352992b5854
142963748188
15168698d139
hexcddf1981c

55263205404 has 144 divisors (see below), whose sum is σ = 153767577600. Its totient is φ = 16595867520.

The previous prime is 55263205391. The next prime is 55263205451. The reversal of 55263205404 is 40450236255.

55263205404 is a `hidden beast` number, since 5 + 52 + 63 + 2 + 0 + 540 + 4 = 666.

It is a super-3 number, since 3×552632054043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35814657 + ... + 35816199.

It is an arithmetic number, because the mean of its divisors is an integer number (1067830400).

Almost surely, 255263205404 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 55263205404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76883788800).

55263205404 is an abundant number, since it is smaller than the sum of its proper divisors (98504372196).

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

55263205404 is a wasteful number, since it uses less digits than its factorization.

55263205404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 55263205404 in words is "fifty-five billion, two hundred sixty-three million, two hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 607 894 1214 1341 1543 1639 1788 1821 2428 2682 3086 3278 3642 4629 4917 5364 5463 6172 6556 6677 7284 9258 9834 10926 13354 13887 14751 16973 18516 19668 20031 21852 26708 27774 29502 33946 40062 50919 55548 59004 60093 67892 80124 90443 101838 120186 152757 180886 203676 229907 240372 271329 305514 361772 459814 542658 611028 689721 813987 919628 936601 994873 1085316 1379442 1627974 1873202 1989746 2069163 2528977 2758884 2809803 2984619 3255948 3746404 3979492 4138326 5057954 5619606 5969238 7586931 8276652 8429409 8953857 10115908 10302611 11239212 11938476 15173862 16858818 17907714 20605222 22760793 30347724 30907833 33717636 35815428 41210444 45521586 61815666 91043172 92723499 123631332 139553549 185446998 279107098 370893996 418660647 558214196 837321294 1255981941 1535089039 1674642588 2511963882 3070178078 4605267117 5023927764 6140356156 9210534234 13815801351 18421068468 27631602702 55263205404